Additivity of constructible factorization algebras over manifolds with corners

TL;DR

This paper proves the additivity property of constructible factorization algebras over manifolds with corners, confirming a conjecture and establishing related theorems in the field of algebraic topology and mathematical physics.

Contribution

It provides a proof of the additivity conjecture for factorization algebras on manifolds with corners and introduces a derived Swiss-cheese additivity theorem.

Findings

Proved the additivity of constructible factorization algebras over manifolds with corners.

Established a derived Swiss-cheese additivity theorem.

Provided an alternative proof for hyperdescent of factorization algebras.

Abstract

We prove the statement in the title, solving in this way a conjecture stated by Ginot for manifolds with corners. Along the way, we establish a derived Swiss-cheese additivity theorem and an alternative proof for the hyperdescent of factorization algebras over those manifolds.