Periodic Floer homology and Seiberg-Witten-Floer cohomology

DOI10.4310/JSG.2012.v10.n1.a4zbMath1280.57029arXiv0906.0383OpenAlexW2963197499MaRDI QIDQ431725

Yi-Jen Lee, Clifford Henry Taubes

Publication date: 30 June 2012

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0383

zbMATH Keywords

holomorphic curvesmapping torusembedded contact homologyperiodic Floer homologySeiberg-Witten Floer cohomology

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Holomorphic maps on manifolds (58C10) Symplectic field theory; contact homology (53D42)

Related Items (13)

Symplectic Floer homology of area-preserving surface diffeomorphisms ⋮ On cobordism maps on periodic Floer homology ⋮ Lecture Notes on Embedded Contact Homology ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ A note on knot Floer homology and fixed points of monodromy ⋮ A sharp lower bound on fixed points of surface symplectomorphisms in each mapping class ⋮ Proof of the simplicity conjecture ⋮ HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology ⋮ HF=HM. IV: The Seiberg-Witten Floer homology and ech correspondence ⋮ HF=HM. V: Seiberg-Witten Floer homology and handle additions ⋮ Cobordism maps on periodic Floer homology induced by elementary Lefschetz fibrations ⋮ Comparing homological invariants for mapping classes of surfaces ⋮ Taubes’s proof of the Weinstein conjecture in dimension three

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