HF=HM I : Heegaard Floer homology and Seiberg--Witten Floer homology

Mathematics – Geometric Topology

Scientific paper

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25 pages. This version includes a minor revision to Theorem 3.3

Scientific paper

Let M be a closed, connected and oriented 3-manifold. This article is the
first of a five part series that constructs an isomorphism between the Heegaard
Floer homology groups of M and the corresponding Seiberg-Witten Floer homology
groups of M.

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