English

The cube and the Burnside category

Geometric Topology 2021-11-16 v2 Algebraic Topology

Abstract

In this note we present a combinatorial link invariant that underlies some recent stable homotopy refinements of Khovanov homology of links. The invariant takes the form of a functor between two combinatorial 2-categories, modulo a notion of stable equivalence. We also develop some general properties of such functors.

Keywords

Cite

@article{arxiv.1505.00512,
  title  = {The cube and the Burnside category},
  author = {Tyler Lawson and Robert Lipshitz and Sucharit Sarkar},
  journal= {arXiv preprint arXiv:1505.00512},
  year   = {2021}
}

Comments

20 pages. V2: updated to accepted version

R2 v1 2026-06-22T09:27:25.339Z