## Algebraic & Geometric Topology

### Combinatorial proofs in bordered Heegaard Floer homology

Bohua Zhan

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 16, Number 5 (2016), 2571-2636.

Dates
Revised: 9 January 2016
Accepted: 24 January 2016
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841221

Digital Object Identifier
doi:10.2140/agt.2016.16.2571

Mathematical Reviews number (MathSciNet)
MR3572341

Zentralblatt MATH identifier
1365.57038

Subjects
Primary: 57R58: Floer homology
Secondary: 57R56: Topological quantum field theories

Keywords
bordered Heegaard Floer homology

#### Citation

Zhan, Bohua. Combinatorial proofs in bordered Heegaard Floer homology. Algebr. Geom. Topol. 16 (2016), no. 5, 2571--2636. doi:10.2140/agt.2016.16.2571. https://projecteuclid.org/euclid.agt/1510841221

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