HF=HM V: Seiberg-Witten-Floer homology and handle addition

Abstract

This is the last of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold.

276 pages

Cited by in corpus (23)

• The equivalence of Heegaard Floer homology and embedded contact homology III: from hat to plus
• A combinatorial spanning tree model for knot Floer homology
• A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
• A contact invariant in sutured monopole homology
• Graph cobordisms and Heegaard Floer homology
• A splitting theorem for the Seiberg-Witten invariant of a homology $S^1\times S^3$
• On the Frøyshov invariant and monopole Lefschetz number
• Instanton Floer homology, sutures, and Heegaard diagrams
• Bordered Floer homology and incompressible surfaces
• On the monopole Lefschetz number of finite order diffeomorphisms
• Duality and mapping tori in Heegaard Floer homology
• On the equivalence of contact invariants in sutured Floer homology theories
• Seiberg-Witten and Gromov invariants for self-dual harmonic 2-forms
• $\mathrm{Pin}(2)$-monopole Floer homology, higher compositions and connected sums
• Equivariant Seiberg-Witten-Floer cohomology
• Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
• A connected sum formula for involutive Heegaard Floer homology
• Cobordism maps in embedded contact homology
• On contact type hypersurfaces in 4-space
• Formal Contact Categories
• Seiberg-Witten Floer homotopy contact invariant
• Foliations, contact structures and their interactions in dimension three
• An exposition of the equivalence of Heegaard Floer homology and embedded contact homology