Geodesic
Explicit Koszul-dualizing bimodules in bordered Heegaard Floer homology
Zhan, Bohua1
1Department of Mathematics, Massachusetts Institute of Technology, Building E18, Room 306, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
Algebraic and Geometric Topology, Tome 16 (2016) no. 1, pp. 231-266
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We give a combinatorial proof of the quasi-invertibility of CFDD̂(IZ) in bordered Heegaard Floer homology, which implies a Koszul self-duality on the dg-algebra A(Z), for each pointed matched circle Z. We do this by giving an explicit description of a rank 1 model for CFAÂ(IZ), the quasi-inverse of CFDD̂(IZ). To obtain this description we apply homological perturbation theory to a larger, previously known model of CFAÂ(IZ).

DOI : 10.2140/agt.2016.16.231
Classification : 57R58, 57R56
Keywords: bordered Heegaard Floer homology

Zhan, Bohua  1

1 Department of Mathematics, Massachusetts Institute of Technology, Building E18, Room 306, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA 
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Zhan, Bohua. Explicit Koszul-dualizing bimodules in bordered Heegaard Floer homology. Algebraic and Geometric Topology, Tome 16 (2016) no. 1, pp. 231-266. doi: 10.2140/agt.2016.16.231

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