DUALITY IN FILTERED FLOER–NOVIKOV COMPLEXES

DOI10.1142/S1793525310000331zbMath1196.53051arXiv0912.2539OpenAlexW2963913457MaRDI QIDQ3578459

Michael Usher

Publication date: 20 July 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2539

zbMATH Keywords

Floer homologyPoincaré dualityspectral invariants

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Related Items

Hamiltonian Floer homology for compact convex symplectic manifolds, A note on partial quasi-morphisms and products in Lagrangian Floer homology in cotangent bundles, Poisson brackets and symplectic invariants, Hamiltonian no-torsion, Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms, Linking and the Morse complex, Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory, A brief survey of the spectral numbers in floer homology

Cites Work

• Unnamed Item
• Floer homology and Arnold conjecture
• Arnold conjecture and Gromov-Witten invariant
• The Maslov index for paths
• On the action spectrum for closed symplectically aspherical manifolds
• Existence of nonsingular closed 1-forms in a de Rham cohomology class
• Symplectic fixed points and holomorphic spheres
• An explicit isomorphism between Floer homology and quantum homology
• On the quantum homology algebra of toric Fano manifolds
• Calabi quasi-morphisms for some non-monotone symplectic manifolds
• Über Restklassennormen auf affinoiden Algebren
• Spectral numbers in Floer theories
• Durchschnitt und Schnitt von Homotopieketten