Symplectic Geometry

Authors and titles for math.SG in Apr 2024

[1]  arXiv:2404.00804 [pdf, other]

Title: Higher Dimensional Birkhoff attractors

Authors: Marie-Claude Arnaud, Vincent Humilière, Claude Viterbo

Comments: 35 pages

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

[2]  arXiv:2404.01052 [pdf, other]

Title: Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus

Authors: Francesco Morabito, Ibrahim Trifa

Comments: Exposition has been improved and typos have been corrected. No changes to the main result have been made

Subjects: Symplectic Geometry (math.SG)

[3]  arXiv:2404.01091 [pdf, ps, other]

Title: Symplectic Geometry for Engineers, Fundamentals

Authors: Stefan Goessner

Comments: 14 pages

Subjects: Symplectic Geometry (math.SG)

[4]  arXiv:2404.01105 [pdf, ps, other]

Title: On aspherical symplectic fillings with finite capacities of the prequantization bundles

Authors: Guanheng Chen

Comments: Comments are welcome!

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

[5]  arXiv:2404.02020 [pdf, other]

Title: Algebraic structures in Lagrangian Floer cohomology modelled on differential forms

Authors: Peleg Bar-Lev

Comments: 65 pages, 3 figures

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

[6]  arXiv:2404.02776 [pdf, other]

Title: Recovering generalized homology from Floer homology: the complex oriented case

Authors: Laurent Côté, Yusuf Barış Kartal

Comments: 24 pages, 1 Figure. Comments are welcome

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT)

[7]  arXiv:2404.02995 [pdf, other]

Title: Poisson structures on wrinkled fibrations

Authors: P. Suárez-Serrato, J. Torres Orozco

Comments: Preprint version. The original paper was published in 2016 in the Bolet\'in de la Sociedad Matem\'atica Mexicana. 14 pages, 4 figures

Journal-ref: Bol. Soc. Mat. Mex. 22, (2016) 263-280

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

[8]  arXiv:2404.03193 [pdf, other]

Title: Foundation of Floer homotopy theory I: Flow categories

Authors: Mohammed Abouzaid, Andrew J. Blumberg

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT)

[9]  arXiv:2404.03628 [pdf, ps, other]

Title: A Canonical Quantization of Poisson Manifolds: a 2-Groupoid Scheme

Authors: Joshua Lackman

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

[10]  arXiv:2404.04591 [pdf, ps, other]

Title: C^0 Lagrangian Monodromy

Authors: Noah Porcelli

Comments: 8 pages. Comments welcome!

Subjects: Symplectic Geometry (math.SG)

[11]  arXiv:2404.04988 [pdf, ps, other]

Title: Darboux, Moser and Weinstein theorems for prequantum systems

Authors: Eva Miranda, Jonathan Weitsman

Comments: 5 pages

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

[12]  arXiv:2404.05150 [pdf, other]

Title: Strong Arnold chord conjecture via normalized capacities

Authors: Jungsoo Kang, Jun Zhang

Comments: 8 pages, 2 figures

Subjects: Symplectic Geometry (math.SG)

[13]  arXiv:2404.05179 [pdf, ps, other]

Title: Floer homology and square pegs

Authors: Joshua Evan Greene, Andrew Lobb

Comments: 31 pages, 8 figures

Subjects: Symplectic Geometry (math.SG); Combinatorics (math.CO); Geometric Topology (math.GT); Metric Geometry (math.MG)

[14]  arXiv:2404.07953 [pdf, other]

Title: Floer Homology with DG Coefficients. Applications to cotangent bundles

Authors: Jean-François Barraud, Mihai Damian, Vincent Humilière, Alexandru Oancea

Comments: 123 pages, 2 figures

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

[15]  arXiv:2404.08484 [pdf, other]

Title: Symplectic mapping class relations from pencil pairs

Authors: Russell Avdek

Comments: 15 pages, 1 figure. Comments welcome

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

[16]  arXiv:2404.08864 [pdf, other]

Title: Reeb flows, pseudo-holomorphic curves and transverse foliations

Authors: Naiara V. de Paulo, Pedro A. S. Salomão

Comments: 22 pages, 6 figures

Journal-ref: S\~ao Paulo Journal of Mathematical Sciences, v. 16, n. 1, p. 314-339, 2022

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

[17]  arXiv:2404.09485 [pdf, ps, other]

Title: Fukaya's immersed Lagrangian Floer theory and microlocalization of Fukaya category

Authors: Yong-Geun Oh, Yat-Hin Suen

Comments: 16 pages

Subjects: Symplectic Geometry (math.SG)

[18]  arXiv:2404.10294 [pdf, other]

Title: Topological Fukaya category of tagged arcs

Authors: Cheol-Hyun Cho, Kyoungmo Kim

Comments: 57 pages, 18 figures

Subjects: Symplectic Geometry (math.SG); Rings and Algebras (math.RA); Representation Theory (math.RT)

[19]  arXiv:2404.12249 [pdf, other]

Title: An approach to Hamiltonian Floer theory for maps from surfaces

Authors: Ronen Brilleslijper, Oliver Fabert

Comments: 23 pages, 1 figure

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

[20]  arXiv:2404.13209 [pdf, ps, other]

Title: Generic doubling of rectangular pegs

Authors: Zhen Gao

Comments: 36 pages, 9 figures

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

[21]  arXiv:2404.13253 [pdf, ps, other]

Title: Reduction of coKähler and 3-cosymplectic manifolds

Authors: Shuhei Yonehara

Comments: 13 pages

Subjects: Symplectic Geometry (math.SG)

[22]  arXiv:2404.13473 [pdf, ps, other]

Title: Legendrian Lavrentiev links

Authors: Maxim Prasolov

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

[23]  arXiv:2404.14702 [pdf, other]

Title: Singular algebraic curves and infinite symplectic staircases

Authors: Dusa McDuff, Kyler Siegel

Comments: 74 pages, 7 figures. Comments welcome!

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

[24]  arXiv:2404.14707 [pdf, other]

Title: A tree formula for the ellipsoidal superpotential of the complex projective plane

Authors: Kyler Siegel

Subjects: Symplectic Geometry (math.SG)

[25]  arXiv:2404.15556 [pdf, ps, other]

Title: Heavy subsets from microsupports

Authors: Tomohiro Asano

Comments: 29 pages

Subjects: Symplectic Geometry (math.SG)