HF=HM, I : Heegaard Floer homology andSeiberg–Witten Floer homology
Çağatay Kutluhan, Yi‐Jen Lee, Clifford Henry Taubes
Abstract
Let [math] be a closed, connected and oriented [math] –manifold. This article is the first of a five-part series that constructs an isomorphism between the Heegaard Floer homology groups of [math] and the corresponding Seiberg–Witten Floer homology groups of [math] .
Topics & Concepts
Floer homologyMathematicsMorse homologyHeegaard splittingPure mathematicsIsomorphism (crystallography)Khovanov homologyHomology (biology)Cellular homologyCombinatoricsAlgebra over a fieldAmino acidCrystallographyFibered knotGeneticsCrystal structureSymplectic geometryBiologyChemistryGeometric and Algebraic TopologyHomotopy and Cohomology in Algebraic TopologyBotulinum Toxin and Related Neurological Disorders