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Equivariant Khovanov Stable Homotopy Types and their Applications

[HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology November 14, 2022 - November 18, 2022

November 18, 2022 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Melissa Zhang (University of California, Davis)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • Khovanov homology

  • Lawson-Lipshitz-Sarkar Khovanov homotopy type

  • equivariant spectra

  • localization

  • Smith inequality

  • periodic links

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification
Video

Equivariant Khovanov Stable Homotopy Types And Their Applications
Abstract

A few years ago, Matt Stoffregen and I constructed equivariant Khovanov spectra for p-periodic links using Lawson, Lipshitz, and Sarkar's Khovanov stable homotopy type. In this talk, I will sketch our construction and then discuss applications of these spectra in low-dimensional topology. If time permits, I will also suggest further research problems that may require the use of Khovanov spectra or Manolescu-Sarkar's knot Floer spectra.
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Equivariant Khovanov Stable Homotopy Types And Their Applications

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