Combinatorial proofs in bordered Heegaard Floer homology

Zhan, Bohua

doi:10.2140/agt.2016.16.2571

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Combinatorial proofs in bordered Heegaard Floer homology

Bohua Zhan

Algebraic & Geometric Topology 16 (2016) 2571–2636

DOI: 10.2140/agt.2016.16.2571

Abstract

Using bordered Floer theory, we give a combinatorial construction and proof of invariance for the hat version of Heegaard Floer homology. As part of the proof, we also establish combinatorially the invariance of the linear-categorical representation of the strongly based mapping class groupoid given by the same theory.

Keywords

bordered Heegaard Floer homology

Mathematical Subject Classification 2010

Primary: 57R58

Secondary: 57R56

References

Publication

Received: 5 July 2014

Revised: 9 January 2016

Accepted: 24 January 2016

Published: 7 November 2016

Authors

Bohua Zhan
Department of Mathematics Massachusetts Institute of Technology Room 2-231B 77 Massachusetts Avenue Cambridge, MA 02139 United States

Volume 16, issue 5 (2016)