Localization in Khovanov homology
Abstract
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 $S^3$.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2018
- arXiv:
- arXiv:1810.04769
- Bibcode:
- 2018arXiv181004769S
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematics - Algebraic Topology;
- 57K18;
- 57S17;
- 55P91;
- 55P42
- E-Print:
- To appear in Geometry &