A Khovanov homotopy type
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 arXiv:
 arXiv:1112.3932
 Bibcode:
 2011arXiv1112.3932L
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Algebraic Topology;
 Mathematics  Quantum Algebra;
 Mathematics  Symplectic Geometry;
 57M25;
 55P42
 EPrint:
 66 pages. Minor updates from the previous version