Khovanov–Seidel quiver algebras and bordered Floer homology

Khovanov–Seidel quiver algebras and bordered Floer homology

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 sim...

Full description

Saved in:
Bibliographic Details
Published in:Selecta mathematica (Basel, Switzerland) Vol. 20; no. 1; pp. 1 - 55
Main Authors: Auroux, Denis, Grigsby, J. Elisenda, Wehrli, Stephan M.
Format: Journal Article
Language:English
Published: Basel Springer Basel 2014
Subjects:
Mathematics
Mathematics and Statistics
81R50
Khovanov homology
Braids
Heegaard Floer homology
Primary 57M27; Secondary 57R58
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-012-0106-2