Homotopy functoriality for Khovanov spectra
Tyler Lawson, Robert Lipshitz, Sucharit Sarkar
TL;DR
This paper establishes that Khovanov spectra, which are topological invariants of links and tangles, behave functorially up to homotopy and sign, enhancing their mathematical robustness.
Contribution
It proves the functoriality of Khovanov spectra for links and tangles up to homotopy and sign, a significant advancement in the field.
Findings
Khovanov spectra are functorial up to homotopy.
Functoriality holds up to sign.
Strengthens the theoretical foundation of Khovanov homology.
Abstract
We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Topological and Geometric Data Analysis