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A Khovanov stable homotopy type (1112.3932v6)
Published 16 Dec 2011 in math.GT, math.AT, math.QA, and math.SG
Abstract: Given a link diagram L we construct spectra Xj(L) so that the Khovanov homology Kh{i,j}(L) is isomorphic to the (reduced) singular cohomology Hi(Xj(L)). The construction of Xj(L) is combinatorial and explicit. We prove that the homotopy type of Xj(L) depends only on the isotopy class of the corresponding link.