Work

The cube and the Burnside category

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1505.00512

Authors: Lawson, Tyler, Lipshitz, Robert, Sarkar, Sucharit

Institution: University of Minnesota

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: CAREER: Extending and unifying modern homological invariants in low dimensional topology, CAREER: Floer-theoretic approaches to low-dimensional topology, Methods of algebraic geometry in algebraic topology

OpenAlex ID: W4301269763

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