gl(2) foams and the Khovanov homotopy type

Vyacheslav Krushkal; Paul Wedrich

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arXiv · 2101.05785

gl(2) foams and the Khovanov homotopy type

Vyacheslav Krushkal·Paul Wedrich

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Abstract

The Blanchet link homology theory is an oriented model of Khovanov homology, functorial over the integers with respect to link cobordisms. We formulate a stable homotopy refinement of the Blanchet theory, based on a comparison of the Blanchet and Khovanov chain complexes associated to link diagrams. The construction of the stable homotopy type relies on the signed Burnside category approach of Sarkar-Scaduto-Stoffregen.

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Vyacheslav Krushkal, Paul Wedrich. 2021-01-14. gl(2) foams and the Khovanov homotopy type. https://arxiv.org/abs/2101.05785

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