A Khovanov stable homotopy type

Published 16 Dec 2011 in math.GT, math.AT, math.QA, and math.SG | (1112.3932v6)

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.

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