Corpus ID: 118185001

A Khovanov homotopy type

  title={A Khovanov homotopy type},
  author={Robert Lipshitz and Sucharit Sarkar},
  journal={arXiv: Geometric Topology},
  • Robert Lipshitz, Sucharit Sarkar
  • Published 2011
  • Mathematics
  • arXiv: Geometric Topology
  • Given a link diagram L we construct spectra X^j(L) so that the Khovanov homology Kh^{i,j}(L) is isomorphic to the (reduced) singular cohomology H^i(X^j(L)). The construction of X^j(L) is combinatorial and explicit. We prove that the homotopy type of X^j(L) depends only on the isotopy class of the corresponding link.