Khovanov–Seidel quiver algebras and bordered Floer homology

• Denis Auroux ^[1] ; J. Elisenda Grigsby ^[2] ; Stephan M. Wehrli ^[3]
  1. [1] Tsinghua-UC Berkeley Shenzhen Institute

     Tsinghua-UC Berkeley Shenzhen Institute

     Estados Unidos

     
  2. [2] Boston College

     Boston College

     City of Boston, Estados Unidos

     
  3. [3] Syracuse University

     Syracuse University

     City of Syracuse, Estados Unidos

     

  Mostrar afiliaciones +
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 20, Nº. 1, 2014, págs. 1-55
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.