Embedded contact homology and open book decompositions

Details Embedded contact homology and open book decompositions Embedded contact homology and open book decompositions

2010-08-16

arxiv.org/abs/1008.2734v1

Mathematics

Symplectic Geometry

Scientific paper

This is the first of a series of papers devoted to proving the equivalence of
Heegaard Floer homology and embedded contact homology (abbreviated ECH). In
this paper we prove that, given a closed, oriented, contact $3$-manifold, there
is an equivalence between ECH of the closed $3$-manifold and a version of ECH,
defined on the complement of the binding of an adapted open book decomposition.

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