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)