gl(2) foams and the Khovanov homotopy type

Krushkal, Vyacheslav; Wedrich, Paul

doi:10.1512/iumj.2023.72.9307

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gl(2) foams and the Khovanov homotopy type

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Wedrich, Paul
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2101.05785
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https://doi.org/10.1512/iumj.2023.72.9307
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Citation

Krushkal, V., & Wedrich, P. (2023). gl(2) foams and the Khovanov homotopy type. Indiana University Mathematics Journal, 72(2), 731-755. doi:10.1512/iumj.2023.72.9307.

Cite as: https://hdl.handle.net/21.11116/0000-000A-8132-B

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.