Vector bundles over unordered configuration spaces

Abstract: I will describe a recent construction of a symmetrized external tensor product of vector bundles of unordered configuration spaces (over some fixed manifold M). Together with the usual tensor product this construction induces a 2-monoidal structure on these vector bundles and naturally appears when trying to construct a geometric model for the multilocal observables in field theory. I will also discuss how equipping the configuration with a certain natural bornology can compensate the fact that they are non-compact, even when the initial manifold M is.

based on joint work with Alessandra Frabetti and Olga Kravchenko.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

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Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.

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