Jones–Wenzl projectors and the Khovanov homotopy of the infinite twist
Year: 2025
Type: article
Abstract: We construct and study a lift of Jones–Wenzl projectors to the setting of Khovanov spectra, and provide a realization of such lifted projectors via a Cooper–Krushkal-like sequence of maps. We also give a polynomial action on the 3-strand spectral projector allowing a complete computation of the 3 -colored Khovanov spectrum of the unknot, proving a conjecture of Lobb–Orson–Schütz. As a byproduct, we disprove a conjecture of Lawson–Lipshitz–Sarkar on the topological Hochschild homology of tangle spectra.
Source: Quantum Topology
DOI: 10.4171/qt/246
Authors: Matthew Stoffregen, Michael Willis
Institutions: Michigan State University, Texas A&M University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414524062
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