Chen-Khovanov spectra for tangles
Tyler Lawson, Robert Lipshitz, Sucharit Sarkar
TL;DR
This paper explores the stable homotopy refinements of Khovanov's tangle invariants and their implications for Chen-Khovanov and Stroppel's platform algebras, including topological Hochschild homology considerations.
Contribution
It introduces stable homotopy refinements of existing tangle invariants and discusses their impact on related algebraic structures and homological theories.
Findings
Refinements induce new invariants for tangles.
Connections established between homotopy theory and algebraic tangle invariants.
Discussion of topological Hochschild homology of these refinements.
Abstract
We note that our stable homotopy refinements of Khovanov's arc algebras and tangle invariants induce refinements of Chen-Khovanov and Stroppel's platform algebras and tangle invariants, and discuss the topological Hochschild homology of these refinements.
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