Superposition of configurations and scanning

2024/04/24 by Andreas Stavrou, Stavrou, Andreas
Engineering · #Algebraic Topology (math.AT) #FOS: Mathematics #Manufacturing Process and Optimization

paper · pdf · doi:10.48550/arxiv.2404.16145

openalex publication_date 2024/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We endow the cohomology of configuration spaces of a manifold with a product arising from superposing configurations. We prove that, under the scanning isomorphism, this product corresponds to the cup-product of the section space of the standard scanning bundle of the manifold.

Related

• The configuration category of a covering space
• Configuration spaces as commutative monoids
• Configuration spaces in algebraic topology
• Configuration spaces of products
• Decoupling generalised configuration spaces on surfaces