A Khovanov homotopy type or two

Mathematics – Geometric Topology

Scientific paper

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61 pages

Scientific paper

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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