Floer homology of families. I.

DOI10.2140/agt.2008.8.435zbMath1170.57025arXivmath/0308115OpenAlexW3102522873MaRDI QIDQ2426840

Michael Hutchings

Publication date: 14 May 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308115

zbMATH Keywords

spectral sequenceMorse theoryFloer homologyLeray-Serre spectral sequenceNovikov homologyfiltered chain complex

Mathematics Subject Classification ID

Floer homology (57R58)

Related Items

Symplectic Floer homology of area-preserving surface diffeomorphisms ⋮ The index of Floer moduli problems for parametrized action functionals ⋮ Noncontractible Hamiltonian loops in the kernel of Seidel's representation ⋮ Equivariant wrapped Floer homology and symmetric periodic Reeb orbits ⋮ Morse-Floer theory for superquadratic Dirac-geodesics ⋮ Localization for involutions in Floer cohomology ⋮ S1$S^1$‐equivariant contact homology for hypertight contact forms ⋮ \(T\)-equivariant disc potential and SYZ mirror construction ⋮ Floer homology of families. I. ⋮ A Leray-Serre spectral sequence for Lagrangian Floer theory ⋮ Gradient flow line near birth–death critical points ⋮ Bott periodicity and stable quantum classes ⋮ Symplectic cohomology and \(q\)-intersection numbers ⋮ Quantum characteristic classes and the Hofer metric ⋮ Polytope Novikov homology ⋮ Families of Legendrian submanifolds via generating families ⋮ A construction of the quantum Steenrod squares and their algebraic relations ⋮ Fredholm theory and transversality for the parametrized and for the \(S^{1}\)-invariant symplectic action ⋮ On the filtered symplectic homology of prequantization bundles ⋮ The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint ⋮ Homology of spaces of regular loops in the sphere ⋮ Morse complexes and multiplicative structures ⋮ Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic sub\-manifolds ⋮ Contact homology and one parameter families of Legendrian knots ⋮ The equivariant pair-of-pants product in fixed point Floer cohomology

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