Contact invariants of \(\mathbb{Q}\)-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology

DOI10.1016/j.aim.2023.109180zbMath1525.53088arXiv2202.00442MaRDI QIDQ6175949

Miguel Abreu, Miguel Moreira, Leonardo Macarini

Publication date: 25 July 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00442

zbMATH Keywords

Ehrhart polynomialcylindrical contact homologyChen-Ruan cohomologytoric contact manifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Symplectic field theory; contact homology (53D42)

Cites Work

• Unnamed Item
• Unnamed Item
• An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves
• Reeb orbits and the minimal discrepancy of an isolated singularity
• On contact manifolds
• The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds
• Some results on Ehrhart polynomials of convex polytopes
• Weighted Ehrhart theory and orbifold cohomology
• Almost regular contact manifolds
• Kaehler structures on toric varieties
• Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces.
• A new cohomology theory of orbifold
• Symplectic cuts
• Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
• Functors and computations in Floer homology with applications. I
• Dynamical implications of convexity beyond dynamical convexity
• On contact invariants of non-simply connected Gorenstein toric contact manifolds
• Contact toric manifolds
• Brieskorn manifolds in contact topology
• THE GYSIN EXACT SEQUENCE FOR S¹-EQUIVARIANT SYMPLECTIC HOMOLOGY
• Contact homology of good toric contact manifolds
• Decompositions of Rational Convex Polytopes
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• S¹-Equivariant Symplectic Homology and Linearized Contact Homology
• Two closed orbits for non-degenerate Reeb flows
• On the Mean Euler Characteristic of Gorenstein Toric Contact Manifolds
• Contact homology and virtual fundamental cycles
• Computing the Continuous Discretely
• Lectures on symplectic geometry
• The McKay correspondence for isolated singularities via Floer theory

This page was built for publication: Contact invariants of \(\mathbb{Q}\)-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology