# Khovanov spectra for tangles

## TL;DR

This paper introduces stable homotopy refinements of Khovanov's arc algebras and tangle invariants, advancing the algebraic and topological understanding of knot theory.

## Contribution

It provides the first stable homotopy refinements for Khovanov's arc algebras and tangle invariants, enriching the algebraic topology framework.

## Key findings

- Defined stable homotopy refinements for arc algebras
- Extended Khovanov invariants to a homotopy-theoretic setting
- Enhanced the algebraic tools for studying tangles

## Abstract

We define stable homotopy refinements of Khovanov's arc algebras and tangle invariants.