The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions II
Vincent Colin, Paolo Ghiggini, Ko Honda
TL;DR
This paper advances the proof of the isomorphism between Heegaard Floer homology and embedded contact homology, focusing on technical aspects related to open book decompositions.
Contribution
It provides detailed technical proofs supporting the HF=ECH isomorphism, completing the arguments from the first part.
Findings
Key technical lemmas established for the HF=ECH isomorphism
Refined understanding of open book decompositions in contact topology
Strengthened the theoretical foundation for the equivalence proof
Abstract
This paper is the sequel to "The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions I" and is devoted to proving some of the technical parts of the HF=ECH isomorphism.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Botulinum Toxin and Related Neurological Disorders