A Khovanov stable homotopy type
Geometric Topology
2022-05-19 v6 Algebraic Topology
Quantum Algebra
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1112.3932,
title = {A Khovanov stable homotopy type},
author = {Robert Lipshitz and Sucharit Sarkar},
journal= {arXiv preprint arXiv:1112.3932},
year = {2022}
}
Comments
68 pages. V5: updated to accepted version. V6: fix typesetting bug in figures introduced in V5