Embedded contact homology and Seiberg-Witten Floer cohomology I

2008/11/24 by Taubes, Clifford Henry · 4 citations
#57R17 #57R57 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0811.3985

Abstract

This is the first of five papers that construct an isomorphism between the embedded contact homology and Seiberg-Witten Floer cohomology of a compact 3-manifold with a given contact 1-form. This paper describes what is involved in the construction.

Cited by

• Strong closing lemmas in Hamiltonian dynamics
• Symplectic Weyl Laws
• Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension 3
• ECH capacities of concave singular toric domains

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• The absolute gradings on embedded contact homology and Seiberg-Witten Floer cohomology
• The equivalence of Heegaard Floer homology and embedded contact homology III: from hat to plus
• Embedded contact homology and open book decompositions
• Correction to a lemma in Embedded Contact Homology and Seiberg-Witten Floer Homology IV