Contact homology of good toric contact manifolds

DOI10.1112/S0010437X11007044zbMath1238.53064arXiv1005.3787OpenAlexW2118493370MaRDI QIDQ3114542

Leonardo Macarini, Miguel Abreu

Publication date: 18 February 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3787

zbMATH Keywords

symplectic reductionReeb orbitcontact homologyConley-Zehnder indexsymplectic conesgood toric contact manifold

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35) Symplectic field theory; contact homology (53D42)

Related Items

Symplectic homology of some Brieskorn manifolds ⋮ Dynamical implications of convexity beyond dynamical convexity ⋮ Dynamical convexity and elliptic periodic orbits for Reeb flows ⋮ Symplectic fillability of toric contact manifolds ⋮ Equivariant symplectic homology of Anosov contact structures ⋮ Contact structures of Sasaki type and their associated moduli ⋮ Iterated \(S^3\) Sasaki joins and Bott orbifolds ⋮ Contact invariants of \(\mathbb{Q}\)-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology ⋮ The Conley conjecture and beyond ⋮ Perfect Reeb flows and action-index relations ⋮ Quasimorphisms on contactomorphism groups and contact rigidity ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ Contact homology and virtual fundamental cycles ⋮ Contact blow up and cylindrical contact homology of toric contact manifolds of Reeb type ⋮ Local contact homology and applications ⋮ On the Conley conjecture for Reeb flows

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