Handle attaching in symplectic homology and the chord conjecture

DOI10.1007/s100970100036zbMath1012.53066OpenAlexW2027438934WikidataQ123337356 ScholiaQ123337356MaRDI QIDQ1614962

Kai Cieliebak

Publication date: 10 September 2002

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s100970100036

zbMATH Keywords

contact formLegendrian knotReeb flowLegendrian submanifold

Mathematics Subject Classification ID

Related Items (39)

Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories ⋮ Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems ⋮ Symplectic fillings of asymptotically dynamically convex manifolds II-\(k\)-dilations ⋮ Disjoinable Lagrangian tori and semisimple symplectic cohomology ⋮ Symplectic capacity and short periodic billiard trajectory ⋮ Displaceability and the mean Euler characteristic ⋮ ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ²ⁿ⁺¹ AND ℝ²ⁿ × S¹ ⋮ Coisotropic Ekeland–Hofer capacities ⋮ Effect of Legendrian surgery ⋮ Infinite not contact isotopic embeddings in (S2n−1,ξstd)$(S^{2n-1},\xi _{\rm {std}})$ for n⩾4$n\geqslant 4$ ⋮ Sectorial descent for wrapped Fukaya categories ⋮ Propagation in Hamiltonian dynamics and relative symplectic homology ⋮ Infinitely many leaf-wise intersections on cotangent bundles ⋮ Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map ⋮ Weinstein manifolds revisited ⋮ Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product ⋮ On manifolds with infinitely many fillable contact structures ⋮ Nearby Lagrangian fibers and Whitney sphere links ⋮ Symplectic homology product via Legendrian surgery ⋮ Subflexible symplectic manifolds ⋮ Symplectic homology and the Eilenberg-Steenrod axioms ⋮ Local systems on the free loop space and finiteness of the Hofer-Zehnder capacity ⋮ Floer theory for negative line bundles via Gromov-Witten invariants ⋮ Local Floer homology and infinitely many simple Reeb orbits ⋮ Lagrangian exotic spheres ⋮ Floer homologies, with applications ⋮ Contact structures and reducible surgeries ⋮ Symplectic Tate homology ⋮ Brieskorn manifolds in contact topology ⋮ Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces ⋮ An exact sequence for contact- and symplectic homology ⋮ Lagrangian Rabinowitz Floer homology and twisted cotangent bundles ⋮ Distinguishing open symplectic mapping tori via their wrapped Fukaya categories ⋮ Lefschetz fibrations and symplectic homology ⋮ Symplectic cohomology rings of affine varieties in the topological limit ⋮ Hamiltonian perturbations in contact Floer homology ⋮ Dynamically exotic contact spheres in dimensions \(\geq 7\) ⋮ THE GYSIN EXACT SEQUENCE FOR S¹-EQUIVARIANT SYMPLECTIC HOMOLOGY ⋮ The Künneth formula in Floer homology for manifolds with restricted contact type boundary

This page was built for publication: Handle attaching in symplectic homology and the chord conjecture