Symplectic Geometry

Authors and titles for August 2025

[1] arXiv:2508.00147 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Quadratic growth of geodesics on the two-sphere Show Chinese title

Title: 测地线的二次增长 on 二球面

Bernhard Albach

Comments: 38 pages. V2 minor rewrites, results unchanged

Subjects: Symplectic Geometry (math.SG)

[2] arXiv:2508.01113 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: On the contact type conjecture for exact magnetic systems Show Chinese title

Title: 关于精确磁系统接触类型猜想

Lina Deschamps, Levin Maier, Tom Stalljohann

Comments: 30 pages. Comments are very welcome!

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[3] arXiv:2508.02501 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: On the Lagrangian Hofer geometry of Clifford tori Show Chinese title

Title: 关于Clifford环面的拉格朗日霍弗几何

Frol Zapolsky

Comments: 16 pages; comments welcome

Subjects: Symplectic Geometry (math.SG)

[4] arXiv:2508.06379 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Semi-orthogonality in Fukaya-Seidel mirrors to blowups of abelian varieties Show Chinese title

Title: 阿贝尔簇的爆破在Fukaya-Seidel镜像中的半正交性

Catherine Cannizzo, Sara Venkatesh

Comments: 33 pages, 9 figures. Comments welcome!

Subjects: Symplectic Geometry (math.SG)

[5] arXiv:2508.06400 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Embedded contact homology of the unit cotangent bundle of the Klein bottle Show Chinese title

Title: 克莱因瓶单位余切丛的嵌入接触同调

Marcelo Miranda, Vinicius G. B. Ramos

Comments: 70 pages, 5 figures. arXiv admin note: text overlap with arXiv:0805.1240 by other authors

Subjects: Symplectic Geometry (math.SG) ; Differential Geometry (math.DG)

[6] arXiv:2508.06822 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Augmentation categories in higher dimensions Show Chinese title

Title: 高维中的增强类别

Hanming Liu

Comments: 22 pages

Subjects: Symplectic Geometry (math.SG)

[7] arXiv:2508.07726 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Symplectification of Circular Arcs and Arc Splines Show Chinese title

Title: 圆弧和弧样条的辛化

Stefan Gössner

Comments: 14 pages, 10 figures, 1 program listing

Subjects: Symplectic Geometry (math.SG)

[8] arXiv:2508.10609 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: A universal extension of helicity to topological flows Show Chinese title

Title: 螺旋度到拓扑流的普遍扩展

Oliver Edtmair, Sobhan Seyfaddini

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[9] arXiv:2508.12525 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Refined Elementary Capacities from Symplectic Field Theory Show Chinese title

Title: 从辛几何场论中得到的精化基本容量

Jonathan Michala

Comments: 50 pages, 6 figures

Subjects: Symplectic Geometry (math.SG)

[10] arXiv:2508.13854 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Poisson structure on character varieties. II Show Chinese title

Title: 特征簇上的泊松结构。 II

Indranil Biswas, Lisa C. Jeffrey

Comments: 10 pages

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG)

[11] arXiv:2508.15142 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Outer symplectic billiard map at infinity Show Chinese title

Title: 无穷远处的外辛折线映射

Peter Albers, Ana Chavez Caliz, Serge Tabachnikov

Comments: 27 pages, 11 figures

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[12] arXiv:2508.15443 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Darboux's Theorem in $p$-adic symplectic geometry Show Chinese title

Title: 达布定理在$p$-adic辛几何中的应用

Luis Crespo, Álvaro Pelayo

Comments: 32 pages, 8 figures. Added new subsection (Section 1.3.2) on global symplectic geometry which includes a symplectic version (Theorem D) of a theorem of Serre; Theorem D is proved in the new Section 6. Overall presentation/introduction revised to reflect these additions

Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph)

[13] arXiv:2508.16978 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Eight-Dimensional Symplectic Nilpotent Lie Groups with Lagrangian Normal Subgroups: A Complete Classification Show Chinese title

Title: 八维辛幂零李群带有拉格朗日正规子群：完整的分类

T. Aït Aissa, M. W. Mansouri

Comments: 25 pages

Subjects: Symplectic Geometry (math.SG)

[14] arXiv:2508.20226 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Decompositions of augmentation varieties via weaves and rulings Show Chinese title

Title: 通过编织和划分分解增强变量

Johan Asplund, Orsola Capovilla-Searle, James Hughes, Caitlin Leverson, Wenyuan Li, Angela Wu

Comments: 88 pages, 55 figures. Comments are welcome

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO) ; Representation Theory (math.RT)

[15] arXiv:2508.20285 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: $C^0$-rigidity of the Hamiltonian diffeomorphism group of symplectic rational surfaces Show Chinese title

Title: $C^0$-刚性在辛有理曲面的哈密顿微分同胚群中的表现

Marcelo Atallah, Cheuk Yu Mak, Weiwei Wu

Comments: Comments welcome!

Subjects: Symplectic Geometry (math.SG) ; Geometric Topology (math.GT)

[16] arXiv:2508.20964 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I Show Chinese title

Title: 从闭合精确拉格朗日子流形得到的切坎诺夫-埃利亚什伯格代数表示 I

Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini

Subjects: Symplectic Geometry (math.SG)

[17] arXiv:2508.21284 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Constructibility of momentum maps and linear variation for singular symplectic reduced spaces Show Chinese title

Title: 动量映射的可构造性及奇异辛约化空间的线性变化

Maarten Mol

Comments: Comments welcome!

Subjects: Symplectic Geometry (math.SG) ; Differential Geometry (math.DG)

[18] arXiv:2508.00133 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Homotopies for Lagrangian field theory Show Chinese title

Title: 拉格朗日场论中的同伦

Michele Schiavina, Jonas Schnitzer

Comments: Significant improvements; 34 pages

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[19] arXiv:2508.03816 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Comparing cluster algebras on braid varieties Show Chinese title

Title: 比较辫子簇上的簇代数

Roger Casals, Pavel Galashin, Mikhail Gorsky, Linhui Shen, Melissa Sherman-Bennett, José Simental

Comments: 67 pages, 20 figures

Subjects: Algebraic Geometry (math.AG) ; Combinatorics (math.CO) ; Representation Theory (math.RT) ; Symplectic Geometry (math.SG)

[20] arXiv:2508.03897 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: A note on real Heegaard Floer homology and localization Show Chinese title

Title: 关于实Heegaard Floer同调和局部化的一篇注记

Kristen Hendricks

Comments: 24 pages, 1 figure. Comments welcome!

Subjects: Geometric Topology (math.GT) ; Symplectic Geometry (math.SG)

[21] arXiv:2508.05105 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Birational Invariants from Hodge Structures and Quantum Multiplication Show Chinese title

Title: 从Hodge结构和量子乘法得到的有理不变量

Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev, Tony Yue YU

Subjects: Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[22] arXiv:2508.07168 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Generalized moment maps, reduction and complex quotients Show Chinese title

Title: 广义矩量映射，约化和复数商

Yi Hu, Xiangsheng Wang

Comments: 70 pages, 1 figure

Subjects: Differential Geometry (math.DG) ; Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[23] arXiv:2508.09583 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: The Path-product in Morse Homology with differential graded coefficients Show Chinese title

Title: 莫尔斯同调中的路径积与微分分次系数

Robin Riegel (IRMA)

Subjects: Algebraic Topology (math.AT) ; Differential Geometry (math.DG) ; Geometric Topology (math.GT) ; Symplectic Geometry (math.SG)

[24] arXiv:2508.14794 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps Show Chinese title

Title: 保角辛系统的几何、拓扑和动力学性质，正常双曲不变流形以及散射映射

Marian Gidea, Rafael de la Llave, Tere M-Seara

Subjects: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph) ; Algebraic Topology (math.AT) ; Symplectic Geometry (math.SG) ; Chaotic Dynamics (nlin.CD)

[25] arXiv:2508.15770 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Quantum cohomology of variations of GIT quotients and flips Show Chinese title

Title: GIT商和翻转的量子上同调

Zhaoxing Gu, Song Yu, Tony Yue YU

Subjects: Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[26] arXiv:2508.17286 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Exploration of vertical self-resonant bifurcations from DRO in the Earth-Moon CR3BP Show Chinese title

Title: 地球-月球CR3BP中DRO的垂直自共振分岔探索

Cengiz Aydin

Comments: 35 pages, 20 figures, 13 tables of data

Subjects: Dynamical Systems (math.DS) ; Earth and Planetary Astrophysics (astro-ph.EP) ; Symplectic Geometry (math.SG)

[27] arXiv:2508.17357 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Hamiltonian actions on 0-shifted cosymplectic groupoids Show Chinese title

Title: 哈密顿作用在0-位移余辛群胚上

Daniel López Garcia, Fabricio Valencia

Comments: 11 pages, 1 figure. Comments are very welcome!

Subjects: Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[28] arXiv:2508.17396 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Pre-Lagrangian tori transverse to an Anosov flow Show Chinese title

Title: 与Anosov流横截的预拉格朗日子环

Francesco Ruscelli

Comments: 17 pages, 4 figures

Subjects: Dynamical Systems (math.DS) ; Symplectic Geometry (math.SG)

[29] arXiv:2508.17551 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Integral points and volume of integral-integral affine manifolds Show Chinese title

Title: 整数点和整数-整数仿射流形的体积

Oded Elisha, Yael Karshon, Yiannis Loizides

Comments: 9 pages. v2: Minor change in the abstract

Subjects: Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[30] arXiv:2508.17709 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Special Lagrangian sections and stability conditions on threefolds Show Chinese title

Title: 特殊拉格朗日截面和三复流形上的稳定性条件

Jacopo Stoppa

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[31] arXiv:2508.18433 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: The Painlevé I hierarchy: Correspondence between the isomonodromic approach and the minimal models of the KP hierarchy Show Chinese title

Title: Painlevé I层次：保单值方法与KP层次的最小模型之间的对应关系

Mohamad Alameddine, Nathan Hayford, Olivier Marchal

Comments: 48 pages,

Subjects: Mathematical Physics (math-ph) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI)