Symplectic Geometry

Authors and titles for math.SG in Apr 2023

[1]  arXiv:2304.00560 [pdf, other]

Title: Constructions of b-semitoric systems

Authors: Joaquim Brugués, Sonja Hohloch, Pau Mir, Eva Miranda

Comments: 39 pages, 8 figures

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

[2]  arXiv:2304.00579 [pdf, other]

Title: Hamiltonian mechanics and Lie algebroid connections

Authors: Jiawei Hu, Ari Stern

Comments: 17 pages. v2: edits and revisions throughout paper; added Section 3.5 on systems arising from Lie algebroid metrics

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

[3]  arXiv:2304.01785 [pdf, other]

Title: Triangulation, Persistence, and Fukaya categories

Authors: Paul Biran, Octav Cornea, Jun Zhang

Comments: 167 pages; 23 figures; the second chapter of this paper incorporates our earlier preprint, Triangulation and persistence: Algebra 101, arXiv:2104.12258

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

[4]  arXiv:2304.01847 [pdf, ps, other]

Title: Isolated hypersurface singularities, spectral invariants, and quantum cohomology

Authors: Yusuke Kawamoto

Comments: 43 pages; v2: final version, to appear in Journal f\"ur die reine und angewandte Mathematik (Crelle's Journal)

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

[5]  arXiv:2304.01872 [pdf, other]

Title: Quantum mirrors of cubic planar graph Legendrians

Authors: Matthias Scharitzer, Vivek Shende

Comments: 22 pages

Subjects: Symplectic Geometry (math.SG)

[6]  arXiv:2304.02561 [pdf, other]

Title: Calabi-Yau structures on Rabinowitz Fukaya categories

Authors: Hanwool Bae, Wonbo Jeong, Jongmyeong Kim

Comments: 30 pages, 2 figures, comments are welcome

Subjects: Symplectic Geometry (math.SG)

[7]  arXiv:2304.03014 [pdf, other]

Title: Calabi-Yau structure on the Chekanov-Eliashberg algebra of a Legendrian sphere

Authors: Noémie Legout

Comments: 38 pages, comments welcome!

Subjects: Symplectic Geometry (math.SG)

[8]  arXiv:2304.03332 [pdf, ps, other]

Title: On the classification of symplectic DQ-algebroids

Authors: Paul Bressler, Juan Diego Rojas

Comments: 36 pages

Journal-ref: Theorey and Applications of Categories, Vol. 38, No. 3, 2022, pp. 64-100

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Category Theory (math.CT); Quantum Algebra (math.QA)

[9]  arXiv:2304.03503 [pdf, ps, other]

Title: Hamiltonian Lie algebroids over Poisson manifolds

Authors: Christian Blohmann, Stefano Ronchi, Alan Weinstein

Comments: 29 pages, added section on Poisson reduction, typos fixed

Subjects: Symplectic Geometry (math.SG)

[10]  arXiv:2304.03761 [pdf, other]

Title: The homotopy cardinality of the representation category for a Legendrian knot

Authors: Justin Murray

Comments: 17 pages, 3 figures

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

[11]  arXiv:2304.04957 [pdf, ps, other]

Title: Families of elliptic boundary problems and index theory of the Atiyah-Bott classes

Authors: Yiannis Loizides

Comments: 38 pages. Version 1 of arXiv:2106.03813 has been split in two parts, and this is the second part, with minor additions

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); K-Theory and Homology (math.KT)

[12]  arXiv:2304.05628 [pdf, ps, other]

Title: Bounding the Lagrangian Hofer metric via barcodes

Authors: Patricia Dietzsch

Comments: 15 pages, 10 figures

Subjects: Symplectic Geometry (math.SG)

[13]  arXiv:2304.05891 [pdf, ps, other]

Title: Regular contact manifolds: a generalization of the Boothby-Wang theorem

Authors: Katarzyna Grabowska, Janusz Grabowski

Comments: 13 pages, the paper has been reorganized and one false statement removed

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

[14]  arXiv:2304.06163 [pdf, ps, other]

Title: Cosymplectic groupoids

Authors: Rui Loja Fernandes, David Iglesias Ponte

Comments: 27 pages; An error in section 4, spotted by the referee, was corrected. Other minor issues and typos were fixed. Final version accepted for publication in Journal of Geometry and Physics

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

[15]  arXiv:2304.07016 [pdf, other]

Title: On the strong Arnold chord conjecture for convex contact forms

Authors: Jungsoo Kang

Comments: 12 pages, comments welcome; added a counterexample to the strong Arnold chord conjecture in the starshaped case (pointed out by Michael Hutchings)

Subjects: Symplectic Geometry (math.SG)

[16]  arXiv:2304.08720 [pdf, ps, other]

Title: A conjectural chain model for positive $S^1$-equivariant symplectic homology of star-shaped toric domains in $\mathbb{C}^2$

Authors: Kei Irie

Comments: 13 pages

Subjects: Symplectic Geometry (math.SG)

[17]  arXiv:2304.09354 [pdf, ps, other]

Title: Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces

Authors: Anton Izosimov, Boris Khesin, Ilia Kirillov

Comments: 27 pages, 3 figures; final version, to appear in Journal of Symplectic Geometry

Subjects: Symplectic Geometry (math.SG)

[18]  arXiv:2304.09652 [pdf, ps, other]

Title: ECH spectrum of some prequantization bundles

Authors: Guanheng Chen

Comments: The proof of Lemma 4.4 in version 3 is not correct and we have revised it. Lemma 3.9 is also revised. We add a result on the Gromov width of the unit disk bundle. Comments are welcome!

Subjects: Symplectic Geometry (math.SG)

[19]  arXiv:2304.10529 [pdf, other]

Title: The first step towards symplectic homotopy theory

Authors: Vardan Oganesyan

Comments: Significant changes. Proved new theorems and added a few more sections. 70 pages

Subjects: Symplectic Geometry (math.SG); Category Theory (math.CT)

[20]  arXiv:2304.10969 [pdf, ps, other]

Title: Equivariant Fukaya categories at singular values

Authors: Yanki Lekili, Ed Segal

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

[21]  arXiv:2304.11804 [pdf, ps, other]

Title: A note on contact manifolds with infinite fillings

Authors: Zhengyi Zhou

Comments: 5 pages, comments are welcome!

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

[22]  arXiv:2304.12103 [pdf, ps, other]

Title: Stability of fixed points of Dirac structures

Authors: Karandeep Jandu Singh, Marco Zambon

Comments: Final version, accepted for publication. 22 pages

Subjects: Symplectic Geometry (math.SG); Quantum Algebra (math.QA)

[23]  arXiv:2304.13026 [pdf, other]

Title: Symplectic $\mathbb{C}^*$-manifolds I: Filtration on Quantum Cohomology

Authors: Alexander F. Ritter, Filip Živanović

Comments: 70 pages, 4 figures. Several new results were added, and some mistakes were fixed. The toric discussion is now summarized in the Introduction, but the proofs will be moved to Part III. The equivariant theory will be dealt with in detail in Part III, and it is also summarised in the Introduction of Part I

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

[24]  arXiv:2304.14384 [pdf, other]

Title: Symplectic $\mathbb{C}^*$-manifolds II: Morse-Bott-Floer Spectral Sequences

Authors: Alexander F. Ritter, Filip Živanović

Comments: 89 pages, 28 figures, minor corrections

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

[25]  arXiv:2304.00832 (cross-list from math.AG) [pdf, other]

Title: Coherent-Constructible Correspondence for Toric Fibrations

Authors: Yuxuan Hu, Pyongwon Suh

Comments: 34 pages, 8 figures

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