PubHawk
Philos Trans A Math Phys Eng Sci September 2018 PMID 30224420

The () Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms.

A Alekseev, J Lane, Y Li

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Several discussions reference specific concepts from the publication, such as Calabi–Yau fibrations, and the Soul Conjecture. For example, one participant mentioned how innovative contributions can advance broader geometrical theories, while another stated the findings might be 'neat' but lacked a stronger call to action. The tone is generally inquisitive yet noncommittal, reflecting a cautious approach to assessing the publication's contributions.

AgreementNeither agree nor disagree

The discussions exhibit mixed responses, with some expressing curiosity while others remain skeptical or neutral about the research findings.

InterestModerate interest

There is a modest level of interest; posters reference related works but do not express overwhelming enthusiasm.

EngagementNeutral engagement

Engagement appears superficial; most posts touch on related academic topics without delving deeply into the specific implications of the publication.

ImpactModerate impact

The overall perception of impact is mild, indicating that while the publication may have relevance, its significance within the community is not universally acknowledged.

Abstract in brief

  • This paper demonstrates that the Ginzburg-Weinstein diffeomorphism has a tropical limit that applies to a specific open subset of an equation.
  • The resulting limit map targets a structure composed of a cone and a torus, with coordinates that are important for integrable systems.
  • Additionally, it reveals that certain Lagrangian tori from the Flaschka-Ratiu system intersect with matrices that are positive when action coordinates are sufficiently large.
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しずめこみ
@Submersion13 · X

A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを導くことは良く知られてるが、逆が言えるというのはどういうことなのだろうか

Sep 23, 2021 · 19 likes · 6 shares · 3,972 followers View post →
Thomas Richard
@tomabangalore · X

@keenanisalive They were used by Aubin in the 70s to show that any Riem manifold admits a metric scal<0 and another metric with W=/=0. https://t.co/gUPVsy6XRn

Jul 26, 2024 · 12 likes · 1 share · 484 followers View post →
Tsinghua University
@Tsinghua_Uni · X

New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are bounded if the canonical divisor’s Iitaka volume is limited & the fibers come from a bounded family. This advances boundedness theory. https://t.co/mIFYUhj2PL https://t.co/b6t5TDyQyy

Oct 15, 2025 · 11 likes · 5 shares · 774,542 followers View post →
SydMathInst
@SydMathInst · X

We hope you’ve enjoyed SMRI’s #KnotOfTheWeek series! Upcoming SMRI visitor @JessicaSPurcel1’s favourite is the figure-eight knot, which plays an important role in the study of 3-manifolds #KnotTheory Watch our full interview with Jessica & @Tillus_ https://t.co/lGf9MZPIYb https://t.co/DZlmrHA06M

Jul 14, 2021 · 11 likes · 3 shares · 864 followers View post →
ルシアン
@Lucien0308 · X

Jones多項式については、ブレイド表示を介した幾何的な解釈がLawrence(1993)やBigerow(2001)によって先に与えられているとのコメントを頂きました！これらはJonesの原論文の正統な発展系のように見えますね。 Lawrence: https://t.co/Z4qbzhf8gf Bigerow: https://t.co/4esSh9Hkwk

May 30, 2024 · 8 likes · 1 share · 3,869 followers View post →
Jack Ceroni
@jack_ceroni · X

Today I learned that Perelman's proof of the soul conjecture is both 1. incredibly short and 2. quite approachable for someone with a bit of knowledge in Riemannian geometry (like myself). Neat! https://t.co/ouZONAQe16

Nov 19, 2024 · 6 likes · 2,392 followers View post →

All mentions

Understanding Exotic Four-Space in Mathematics

In this video, I discuss exotic four-space, a fascinating concept in mathematics. Dimension four is weird, with its unique properties and implications that challenge our understanding of geometry. Join me as I explore…

VisualMath · Nov 5, 2022 2,495 views
老虎游 老仙游 老福德
@LHoktik · X

RT @Tsinghua_Uni: New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are boun…

Oct 22, 2025 · 5 shares · 1,723 followers View post →
Fedunya
@YurLite · X

RT @Tsinghua_Uni: New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are boun…

Oct 15, 2025 · 5 shares · 23 followers View post →
老虎游 老仙游 老福德
@LHoktik · X

RT @Tsinghua_Uni: New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are boun…

Oct 15, 2025 · 5 shares · 1,723 followers View post →
Kart Nisom
@KartNisom · X

RT @Tsinghua_Uni: New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are boun…

Oct 15, 2025 · 5 shares · 39 followers View post →
Aung Khin Sint
@Aksaatz · X

RT @Tsinghua_Uni: New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are boun…

Oct 15, 2025 · 5 shares · 118 followers View post →
Tsinghua University
@Tsinghua_Uni · X

New bounds drawn in the geometry! Innovative Tsinghua Dr. Jiao Junpeng proved that certain Calabi–Yau fibrations are bounded if the canonical divisor’s Iitaka volume is limited & the fibers come from a bounded family. This advances boundedness theory. https://t.co/mIFYUhj2PL https://t.co/b6t5TDyQyy

Oct 15, 2025 · 11 likes · 5 shares · 774,542 followers View post →
Arnold.Yao
@Arnold15912 · X

L_p Affine Isoperimetric Inequalities-Journal of Differential Geometry-Erwin Lutwak, Deane Yang, Gaoyong Zhang https://t.co/z9o1PcgGtd

Sep 7, 2025 · 116 followers View post →
komplexkonjugat
@komplexkonjugat · X

@MemeDestruction @MathMatize Uncountably infinite, as shown by Clifford Taubes. https://t.co/f9c00o3145 https://t.co/3hukZmdw6X

Jul 22, 2025 · 2 likes · 1,233 followers View post →
Annihilation
@shiarexic · X

@lailalations If you’re still looking for recourses you can see: https://t.co/5cWpGdCqcd https://t.co/JBSNdE1IzI https://t.co/bRSQ6Iyv0U

Jul 4, 2025 · 106 followers View post →
K
@hyp622 · X

https://t.co/3vA7IWimj7

Feb 24, 2025 · 1 like · 945 followers View post →
K
@hyp622 · X

https://t.co/x0iF9NUrEp

Feb 24, 2025 · 945 followers View post →
Ajitesh Shukla
@ajitesh_shukla7 · X

RT @isomorphisms: Perelman, Grigori (1994). "Proof of the soul conjecture of Cheeger and Gromoll". Journal of Differential Geometry. 40 (1)…

Dec 25, 2024 · 5 shares · 1,483 followers View post →
RainMan
@langstron76 · X

RT @isomorphisms: Perelman, Grigori (1994). "Proof of the soul conjecture of Cheeger and Gromoll". Journal of Differential Geometry. 40 (1)…

Dec 16, 2024 · 5 shares · 410 followers View post →
Nelke 'Demon Lord' Shilovich
@nelke_IGB · X

RT @isomorphisms: Perelman, Grigori (1994). "Proof of the soul conjecture of Cheeger and Gromoll". Journal of Differential Geometry. 40 (1)…

Dec 16, 2024 · 5 shares · 1,103 followers View post →
primary sources
@isomorphismes3 · X

RT @isomorphisms: Perelman, Grigori (1994). "Proof of the soul conjecture of Cheeger and Gromoll". Journal of Differential Geometry. 40 (1)…

Dec 15, 2024 · 5 shares · 34 followers View post →
Alex-André Dumbass
@isomorphisms · X

Perelman, Grigori (1994). "Proof of the soul conjecture of Cheeger and Gromoll". Journal of Differential Geometry. 40 (1): 209–212. doi:10.4310/jdg/1214455292. ISSN 0022-040X. MR 1285534. Zbl 0818.53056 https://t.co/U8eY1N350A https://t.co/8FD9OSuLad https://t.co/RPADLAtuux

Dec 15, 2024 · 3 likes · 5 shares · 1,825 followers View post →
し（メガネ）
@ap_as_ws · X

A fake compact contractible 4-manifold https://t.co/9XymvUdRj4

Dec 5, 2024 · 317 followers View post →
し（メガネ）
@ap_as_ws · X

An exotic 4-manifold https://t.co/bHq8N9xDlr

Dec 5, 2024 · 1 like · 317 followers View post →
Matt Samuel, PhD
@SchubertCalc · X

Here's what I'm currently reading https://t.co/MqlotvNXRM

Dec 1, 2024 · 2 likes · 957 followers View post →
Jack Ceroni
@jack_ceroni · X

Today I learned that Perelman's proof of the soul conjecture is both 1. incredibly short and 2. quite approachable for someone with a bit of knowledge in Riemannian geometry (like myself). Neat! https://t.co/ouZONAQe16

Nov 19, 2024 · 6 likes · 2,392 followers View post →
aeesz4
@aepau2 · X

@strangelinalet @Rationalbot @alz_zyd_ Try that approach with this (SOTA in the 80s, so not at the frontier?): https://t.co/S0oz0lBivL https://t.co/1wuZFsxwVm

Oct 19, 2024 · 1 like · 74 followers View post →
primary sources
@isomorphismes3 · X

RT @isomorphisms: Hubbard & Koch's analytic construction of Deligne-Mumford compactification of curve space http://t.co/ljggPlZJkE http://t…

Sep 17, 2024 · 3 shares · 34 followers View post →
vicen
@vicen_cm · X

RT @tomabangalore: @keenanisalive They were used by Aubin in the 70s to show that any Riem manifold admits a metric scal<0 and another metr…

Jul 26, 2024 · 1 share · 618 followers View post →
Thomas Richard
@tomabangalore · X

@keenanisalive They were used by Aubin in the 70s to show that any Riem manifold admits a metric scal<0 and another metric with W=/=0. https://t.co/gUPVsy6XRn

Jul 26, 2024 · 12 likes · 1 share · 484 followers View post →
Cemal Başargan 
@cemalbasargan · X

Proof of the soul conjecture of Cheeger and Gromoll: https://t.co/UgPR7sjmNq

Jul 8, 2024 · 5,449 followers View post →
Jason D Lotay
@jdlotay · X

The link is here: https://t.co/t8M4HbUlJG

Jun 7, 2024 · 1 like · 433 followers View post →
みのり #そらぐみ/おしろい(Face Powder)
@WirelesLANcable · X

RT @Lucien0308: Jones多項式については、ブレイド表示を介した幾何的な解釈がLawrence(1993)やBigerow(2001)によって先に与えられているとのコメントを頂きました！これらはJonesの原論文の正統な発展系のように見えますね。 Lawren…

May 30, 2024 · 1 share · 324 followers View post →
ルシアン
@Lucien0308 · X

Jones多項式については、ブレイド表示を介した幾何的な解釈がLawrence(1993)やBigerow(2001)によって先に与えられているとのコメントを頂きました！これらはJonesの原論文の正統な発展系のように見えますね。 Lawrence: https://t.co/Z4qbzhf8gf Bigerow: https://t.co/4esSh9Hkwk

May 30, 2024 · 8 likes · 1 share · 3,869 followers View post →
Nick
@anisomorphism · X

@geogristle Smale: https://t.co/6V3QruuqlF

Apr 2, 2024 · 1 like · 827 followers View post →
T Shirt n Jeans
@TShirtnJeans2 · X

@DrJimFan Grigori Perelman's first major breakthrough was a one page proof of the Soul Conjecture. Quantity doesn't matter. https://t.co/rxfcf0GWBy

Feb 14, 2024 · 1 like · 1,569 followers View post →
defedef32
@defedef32 · X

estoy leyéndome esto y se supone que debo sacarle punta más punta ten-ed pi-e-dad: https://t.co/Y91KGGFcIL (voy adelantando trabajo: Corolario en 4.4, una cosa* lineal al haber añadido -tarde- la corrección "1/t") *una cosa no es "uno acosa", como dice K, tengo menos peligro que https://t.co/kBkDvWggwt

Dec 29, 2023 · 1 like · 68 followers View post →
千原浩之
@HiroyukiChihara · X

やっとお勉強が終わりました。紙を200枚くらい消費しました。 --- Sean Holman, Gunther Uhlmann On the microlocal analysis of the geodesic X-ray transform with conjugate points Journal of Differential Geometry 108(3) (2018), pp.459-494 https://t.co/Bop1xKbOo4

Aug 25, 2023 · 134 followers View post →
千原浩之
@HiroyukiChihara · X

オープンアクセスです。 --- Sean Holman, Gunther Uhlmann On the microlocal analysis of the geodesic X-ray transform with conjugate points Journal of Differential Geometry 108(3) (2018), pp.459-494 https://t.co/Bop1xKbOo4 https://t.co/bxMqnZPNUJ

Jul 31, 2023 · 134 followers View post →
Colm Kennedy
@OlmyAbs · X

https://t.co/0LPJXczGGd

Jun 22, 2023 · 32 followers View post →
Data Simplicity Community
@Aaron_DataSimp · X

tial Geometry. 46 (3). doi:10.4310/jdg/1214459974. 12.Mémoli, Facundo; Sapiro, Guillermo (2004). "Comparing point clouds". Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing - SGP '04. p. 32. doi:10.1145/1057432.1057436. ISBN 3905673134. S2CID 20

Jun 13, 2023 · 58 followers View post →
いぬくん
@fluffydog_bow · X

What is “Wentzell eigenvalue”? https://t.co/5ztM5WPxuu

Jun 7, 2023 · 568 followers View post →
primary sources
@isomorphismes3 · X

RT @isomorphisms: Three-manifolds with positive Ricci curvature Richard S. Hamilton https://t.co/N6ccGHlcNU Ithaca, New York • 1982

May 6, 2023 · 1 share · 34 followers View post →
Alex-André Dumbass
@isomorphisms · X

Three-manifolds with positive Ricci curvature Richard S. Hamilton https://t.co/N6ccGHlcNU Ithaca, New York • 1982

May 6, 2023 · 1 like · 1 share · 1,825 followers View post →
いぬくん
@fluffydog_bow · X

>As a consequence of this, we show that semi-regular polygons are spectrally determined, meaning that if Ω is a convex piecewise smooth planar domain, possibly with straight corners, https://t.co/XbJbxJ6SCp

May 4, 2023 · 1 like · 568 followers View post →
Nick
@anisomorphism · X

@uncertainty_s I found a paper which focuses more on circuits by another famous dynamicist/topologist of the last century, and goes up to the differential equation stuff (inductors and capacitors) https://t.co/6V3QruuYbd

Jan 27, 2023 · 1 like · 827 followers View post →
Isaac Carcacía
@Isaaccarcacia · X

Vídeo un tanto curioso sobre la existencia de estructuras diferenciables en espacios de diferentes dimensiones. La primera parte no dice mucho si ya sabes de cosas de estas. https://t.co/AT3YDHUZJM

Nov 6, 2022 · 2 likes · 3,735 followers View post →
Juan Pablo Cardona Buitrago
@JuanPaCardonaB · X

@mike_mates El teorema del alma, demostrado por Perelman: https://t.co/A8lEuHiWCV

Nov 3, 2022 · 49 followers View post →
Fatine Akça
@14c14c · X

Taubes大先生の凄さを宣伝したいです！ https://t.co/wwshkrblvG https://t.co/pw4aboEAe5

Oct 25, 2022 · 1 like · 1 share · 81 followers View post →
すーり
@math_su_ri · X

RT @taiat5: @math_su_ri I recommend you a analytic proof of Kodaira embedding thm by Donaldson: https://t.co/94DImT5M3Q In section 6 of th…

Oct 3, 2022 · 1 share · 1,141 followers View post →
LYU
@taiat5 · X

@math_su_ri I recommend you a analytic proof of Kodaira embedding thm by Donaldson: https://t.co/94DImT5M3Q In section 6 of this article, he build a Weitzenbock-type formula to prove the thm, this formula yields the result as fast as Kodaira-Nakano identity in proving Kodaira vanishing thm.

Oct 3, 2022 · 2 likes · 1 share · 107 followers View post →
adhara_mathphys
@adhara_mathphys · X

RT @taiat5: @deep_blue0723 Your thesis looks very interesting! I'm also learning something related to your thesis: constructing ALE space v…

Sep 22, 2022 · 1 share · 8,608 followers View post →
LYU
@taiat5 · X

@deep_blue0723 Your thesis looks very interesting! I'm also learning something related to your thesis: constructing ALE space via hyperkahler quotient. When the moment map parameters are all zero, this quotient indeed C^2/G, here G a finite group of SU(2). https://t.co/ZWcUmNGwyU

Sep 22, 2022 · 2 likes · 1 share · 107 followers View post →
Neal Coleman
@necoleman · X

@sallycol @mathnaudrey It is a nice paper! A very concrete, well-put-together argument. The key part Donaldson's theorem plays seems to illustrate the point above that somehow all of these examples have to do with the inability to untangle embedded surfaces. https://t.co/fP0o20pm23

May 4, 2022 · 372 followers View post →
しずめこみ
@Submersion13 · X

@hyp622 何となく深谷さんの話に似てる気もしなくもないんですよね 最初のtheoremぐらいを見てみてください https://t.co/SBByO8sbZL https://t.co/4AlgFDQ2Kh

Feb 7, 2022 · 2 likes · 1 share · 3,972 followers View post →
同時対角化P
@diagonalizer · X

ソボレフ臨界型の偏微分方程式の解空間の性質が次元が25の所で変わる例 https://t.co/MGgfULHBs7

Jan 19, 2022 · 1 like · 542 followers View post →
K
@hyp622 · X

https://t.co/spfzBMBKcn

Jan 3, 2022 · 2 likes · 945 followers View post →
智慧琳×(-睿⁻¹)+EI
@inversefunc · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 772 followers View post →
とある高専卒業生
@subarusatosi · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 12,670 followers View post →
semi-invariant
@semiinvariant · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 126 followers View post →
らんびぎゅいて
@laboage777 · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 457 followers View post →
粗凸空間
@TFAE10 · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 145 followers View post →
セミ法師
@CicadaHosshi · X

RT @Submersion13: A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを…

Sep 23, 2021 · 6 shares · 127 followers View post →
しずめこみ
@Submersion13 · X

A condition for paracompactness of a manifold https://t.co/V43aSSPEhC 微分多様体のパラコンパクト性と擬リーマン構造の存在が同値であるという特徴づけ パラコンがリーマンを導くことは良く知られてるが、逆が言えるというのはどういうことなのだろうか

Sep 23, 2021 · 19 likes · 6 shares · 3,972 followers View post →
気合入れてけ！！アブスト作成/メール返信/報告書/発表準備/宿泊先を決める
@Alwe_Logic · X

RT @amntksr: @Alwe_Logic https://t.co/7SS3kQev0S

Sep 2, 2021 · 1 share · 3,543 followers View post →
カムショット・マリファナコカイン・ハードコアポルノ
@amntksr · X

@Alwe_Logic https://t.co/7SS3kQev0S

Sep 2, 2021 · 1 like · 1 share · 864 followers View post →
maph1994
@maph1994 · X

江口先生のTQFTの講義録の2章: https://t.co/hDu9phvbuw や、clayのミラー対称性の教科書の10章: https://t.co/xlMLUOsBBW に解説があります。 原論文はWitten先生の https://t.co/jq7YSGJJpC です

Sep 1, 2021 · 3 likes · 4,586 followers View post →
Marcos Guerrero
@GMGTransPortal · X

RT @SydMathInst: We hope you’ve enjoyed SMRI’s #KnotOfTheWeek series! Upcoming SMRI visitor @JessicaSPurcel1’s favourite is the figure-eig…

Jul 19, 2021 · 3 shares · 547 followers View post →
Emmanuel Dufraine
@E_Dufraine · X

RT @SydMathInst: We hope you’ve enjoyed SMRI’s #KnotOfTheWeek series! Upcoming SMRI visitor @JessicaSPurcel1’s favourite is the figure-eig…

Jul 15, 2021 · 3 shares · 90 followers View post →
SydMathInst
@SydMathInst · X

We hope you’ve enjoyed SMRI’s #KnotOfTheWeek series! Upcoming SMRI visitor @JessicaSPurcel1’s favourite is the figure-eight knot, which plays an important role in the study of 3-manifolds #KnotTheory Watch our full interview with Jessica & @Tillus_ https://t.co/lGf9MZPIYb https://t.co/DZlmrHA06M

Jul 14, 2021 · 11 likes · 3 shares · 864 followers View post →