Categorical lifting of the Jones polynomial: a survey
M Khovanov, R Lipshitz - Bulletin of the American Mathematical Society, 2023 - ams.org
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Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
Stable homotopy refinement of quantum annular homology
R Akhmechet, V Krushkal, M Willis - Compositio Mathematica, 2021 - cambridge.org
We construct a stable homotopy refinement of quantum annular homology, a link homology
theory introduced by Beliakova, Putyra and Wehrli. For each. The construction relies on an …
theory introduced by Beliakova, Putyra and Wehrli. For each. The construction relies on an …
[PDF][PDF] Homotopy functoriality for Khovanov spectra
arXiv:2104.12907v3 [math.GT] 28 Sep 2022 Page 1 HOMOTOPY FUNCTORIALITY FOR
KHOVANOV SPECTRA TYLER LAWSON, ROBERT LIPSHITZ, AND SUCHARIT SARKAR …
KHOVANOV SPECTRA TYLER LAWSON, ROBERT LIPSHITZ, AND SUCHARIT SARKAR …
gl (2) foams and the Khovanov homotopy type
V Krushkal, P Wedrich - arXiv preprint arXiv:2101.05785, 2021 - arxiv.org
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 …
over the integers with respect to link cobordisms. We formulate a stable homotopy …
Jones-Wenzl projectors and the Khovanov homotopy of the infinite twist
M Stoffregen, M Willis - arXiv preprint arXiv:2402.10332, 2024 - arxiv.org
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 …
and provide a realization of such lifted projectors via a Cooper-Krushkal-like sequence of …
[PDF][PDF] Spatial refinements and Khovanov homology
R Lipshitz, S Sarkar - arXiv preprint arXiv:1709.03602, 2017 - arxiv.org
arXiv:1709.03602v2 [math.GT] 13 Nov 2021 Page 1 arXiv:1709.03602v2 [math.GT] 13 Nov
2021 Spatial refinements and Khovanov homology Robert Lipshitz∗ Sucharit Sarkar† Abstract …
2021 Spatial refinements and Khovanov homology Robert Lipshitz∗ Sucharit Sarkar† Abstract …
Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras
Leveraging skew Howe duality, we show that Lawson-Lipshitz-Sarkar's spectrification of
Khovanov's arc algebra gives rise to 2-representations of categorified quantum groups over …
Khovanov's arc algebra gives rise to 2-representations of categorified quantum groups over …
An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2
J Cohen - arXiv preprint arXiv:2209.01705, 2022 - arxiv.org
We show that there is an associative algebra $\widetilde {H} _n $ such that, over a base ring
$ R $ of characteristic 2, Khovanov's arc algebra $ H_n $ is isomorphic to the algebra …
$ R $ of characteristic 2, Khovanov's arc algebra $ H_n $ is isomorphic to the algebra …
Localization in Khovanov homology
M Stoffregen, M Zhang - Geometry & Topology, 2024 - msp.org
We construct equivariant Khovanov spectra for periodic links using the Burnside functor
construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets …
construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets …