English

Almost-extreme Khovanov spectra

Geometric Topology 2020-12-29 v1 Algebraic Topology

Abstract

We introduce a functor from the cube to the Burnside 2-category and prove that it is equivalent to the Khovanov spectrum given by Lipshitz and Sarkar in the almost-extreme quantum grading. We provide a decomposition of this functor into simplicial complexes. This decomposition allows us to compute the homotopy type of the almost-extreme Khovanov spectra of diagrams without alternating pairs.

Keywords

Cite

@article{arxiv.2012.13724,
  title  = {Almost-extreme Khovanov spectra},
  author = {Federico Cantero Morán and Marithania Silvero},
  journal= {arXiv preprint arXiv:2012.13724},
  year   = {2020}
}

Comments

41 pages, 19 figures

R2 v1 2026-06-23T21:25:59.925Z