2011/07/14 by Denis Auroux, Auroux, Denis, J. Elisenda Grigsby +3
Mathematics · #57M12 #57M27 #57R58 #81R50 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.GT #math.QA #math.SG #msc:57M12 #msc:57M27 #msc:57R58 #msc:81R50
paper · pdf · doi:10.48550/arxiv.1107.2841
56 pages, 12 figures; This is the version published by Selecta Mathematica. Incorporated referee's suggestions, trimming background material on A_\infty algebras/modules. Added Section 7, providing an example of a braid for which the A_\infty structures of its associated Khovanov-Seidel and bordered Floer bimodules differ
openalex publication_date 2011/07/14 · arxiv created 2013/07/18 · arxiv updated 2013/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associated to the double-branched cover of a braid and show that its associated graded bimodule is equivalent to a similar bimodule defined by Khovanov and Seidel.