# Localization in Khovanov homology

@article{Stoffregen2018LocalizationIK, title={Localization in Khovanov homology}, author={Matthew Stoffregen and Melissa Zhang}, journal={arXiv: Geometric Topology}, year={2018} }

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, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in $S^3$.

## 4 Citations

### Khovanov homology and the cinquefoil

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We prove that Khovanov homology with coefficients in Z/2Z detects the (2, 5) torus knot. Our proof makes use of a wide range of deep tools in Floer homology, Khovanov homology, and Khovanov homotopy.…

### Stable homotopy refinement of quantum annular homology

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We construct a stable homotopy refinement of quantum annular homology, a link homology theory introduced by Beliakova, Putyra and Wehrli. For each $r\geq ~2$ we associate to an annular link $L$ a…

### Floer homotopy theory, revisited

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In 1995 the author, Jones, and Segal introduced the notion of "Floer homotopy theory". The proposal was to attach a (stable) homotopy type to the geometric data given in a version of Floer homology.…

### Khovanov homotopy type, periodic links and localizations

- Materials ScienceMathematische Annalen
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By applying the Dwyer–Wilkerson theorem, Khovanov homology of the quotient link is expressed in terms of equivariant Khovanova homological of the original link.

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