Symplectic Geometry

Authors and titles for math.SG in Mar 2024

[1]  arXiv:2403.00408 [pdf, ps, other]

Title: Semi-Local Exotic Lagrangian Tori in Dimension Four

Authors: Joé Brendel, Johannes Hauber, Joel Schmitz

Comments: 44 pages, 15 figures

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

[2]  arXiv:2403.00949 [pdf, other]

Title: On a symplectic generalization of a Hirzebruch problem

Authors: Leonor Godinho, Nicholas Lindsay, Silvia Sabatini

Comments: 63 pages

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

[3]  arXiv:2403.01825 [pdf, ps, other]

Title: Hamiltonian $S^1$-manifolds which are like a coadjoint orbit of $G_2$

Authors: Hui Li

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

[4]  arXiv:2403.01855 [pdf, other]

Title: A Poincaré-Birkhoff Theorem for Asymptotically Linear Hamiltonian Diffeomorphisms

Authors: Leonardo Masci

Comments: 34 pages, 2 figures, comments welcome!

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

[5]  arXiv:2403.02228 [pdf, ps, other]

Title: Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2

Authors: Simon Vialaret

Comments: 22 pages; v2: corrected a mistake in the proof of the main theorem, new section 4.2 on a sharp bound on the systolic ratio for contractible Reeb orbits

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

[6]  arXiv:2403.03178 [pdf, ps, other]

Title: Reduction of Cosymplectic Groupoids

Authors: Daniel López Garcia, Nicolas Martinez Alba

Comments: 9 pages

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

[7]  arXiv:2403.03519 [pdf, ps, other]

Title: KIAS Lectures on Symplectic Aspects of Degenerations

Authors: Jonathan David Evans

Comments: 41 pages

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

[8]  arXiv:2403.03927 [pdf, ps, other]

Title: Remarks on Diffeological Frobenius Reciprocity

Authors: Gabriele Barbieri, Jordan Watts, Francois Ziegler

Comments: 26 pages

Subjects: Symplectic Geometry (math.SG); Representation Theory (math.RT)

[9]  arXiv:2403.06761 [pdf, other]

Title: Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces

Authors: Johanna Bimmermann, Levin Maier

Comments: 23 pages, 5 figures. Comments are welcome!

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

[10]  arXiv:2403.07195 [pdf, ps, other]

Title: A symplectic Hilbert-Smith conjecture

Authors: Egor Shelukhin

Comments: 16 pages; appendix by Leonid Polterovich

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Dynamical Systems (math.DS); Group Theory (math.GR)

[11]  arXiv:2403.07863 [pdf, ps, other]

Title: Spectral invariants for non-compactly supported Hamiltonians on the disc, and an application to the mean action spectrum

Authors: Barney Bramham, Abror Pirnapasov

Comments: 15 pages

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

[12]  arXiv:2403.10679 [pdf, ps, other]

Title: $C^1$-Local Flatness and Geodesics of the Legendrian Spectral Distance

Authors: Simon Allais, Pierre-Alexandre Arlove

Comments: 14 pages

Subjects: Symplectic Geometry (math.SG)

[13]  arXiv:2403.12248 [pdf, other]

Title: Pseudo-holomorphic triangles and the median quasi-state

Authors: Pazit Haim-Kislev, Michael Khanevsky, Asaf Kislev, Daniel Rosen

Subjects: Symplectic Geometry (math.SG)

[14]  arXiv:2403.12304 [pdf, ps, other]

Title: Conformally symplectic structures and the Lefschetz condition

Authors: Mehdi Lejmi, Scott O. Wilson

Comments: 6 pages

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

[15]  arXiv:2403.12903 [pdf, ps, other]

Title: Geodesic vector fields, induced contact structures and tightness in dimension three

Authors: Tilman Becker

Comments: 20 pages

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

[16]  arXiv:2403.12951 [pdf, other]

Title: Legendrian loops and cluster modular groups

Authors: James Hughes

Comments: 54 pages, 34 figures; comments welcome!

Subjects: Symplectic Geometry (math.SG)

[17]  arXiv:2403.15767 [pdf, other]

Title: The sharp $C^0$-fragmentation property for Hamiltonian diffeomorphisms and homeomorphisms on surfaces

Authors: Baptiste Serraille

Comments: 19 pages, 3 figures, comments welcome

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

[18]  arXiv:2403.16300 [pdf, ps, other]

Title: Formal Poisson (co)homology of the Lefschetz singularity

Authors: Lauran Toussaint, Florian Zeiser

Subjects: Symplectic Geometry (math.SG)

[19]  arXiv:2403.16492 [pdf, ps, other]

Title: Sutured Heegaard Floer and embedded contact homologies are isomorphic

Authors: Vincent Colin, Paolo Ghiggini, Ko Honda

Subjects: Symplectic Geometry (math.SG)

[20]  arXiv:2403.17098 [pdf, ps, other]

Title: Lagrangian cobordisms and K-theory of symplectic bielliptic surfaces

Authors: Álvaro Muñiz-Brea

Comments: 49 pages, 3 figures

Subjects: Symplectic Geometry (math.SG)

[21]  arXiv:2403.18261 [pdf, ps, other]

Title: Simplicity of the contactomorphism group of finite regularity

Authors: Yong-Geun Oh

Comments: 61 pages, comments welcome!; v2) many typos corrected, English and exposition improved

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

[22]  arXiv:2403.19110 [pdf, ps, other]

Title: Remarks on $J$-tame inflation

Authors: Pranav Chakravarthy, Jordan Payette, Martin Pinsonnault

Comments: Initial submission. Comments welcome. 20 pages

Subjects: Symplectic Geometry (math.SG)

[23]  arXiv:2403.19683 [pdf, ps, other]

Title: Corrigendum of "Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks I, Surveys in Differential Geometry XXII (2018), 133-190"

Authors: Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

Comments: 7 pages

Subjects: Symplectic Geometry (math.SG)

[24]  arXiv:2403.19982 [pdf, ps, other]

Title: Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries

Authors: Youlin Li, Zhengyi Zhou

Comments: 14 pages,10 figures,comments welcome!

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

[25]  arXiv:2403.02356 (cross-list from math.CO) [pdf, ps, other]

Title: Baker-Bowler theory for Lagrangian Grassmannians

Authors: Donggyu Kim

Comments: 30 pages, 3 figures

Subjects: Combinatorics (math.CO); Symplectic Geometry (math.SG)