Superposition of configurations and scanning
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.
Institutions
- University of Chicago (US)
Publication Details
- Journal
- The Quarterly Journal of Mathematics
- Published
- 2025-06-01
- DOI
- https://doi.org/10.1093/qmath/haaf024
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00