Weyl n-algebras

TL;DR

This paper introduces Weyl n-algebras and demonstrates how their factorization homology can be used to define manifold invariants, providing a connection to perturbative Chern-Simons invariants.

Contribution

The paper defines Weyl n-algebras and establishes their factorization homology as a tool for constructing manifold invariants, linking algebraic structures to topological quantum field theory.

Findings

Weyl n-algebras are introduced as a new algebraic structure.

Factorization homology of Weyl n-algebras yields manifold invariants.

Invariants relate to perturbative Chern-Simons theory.

Abstract

We introduce Weyl n-algebras and show how their factorization homology may be used to define invariants of manifolds. In the appendix we heuristically explain why these invariants must be perturbative Chern-Simons invariants.