Diffeomorphism-equivariant configuration spaces with twisted partial summable labels

Thesis

We construct the configuration space of points in a smooth manifold with twisted noncommutative partial summable labels. The theory of twisted operads is developed to encode twisted noncommutative summations. We also define a diffeomorphism-equivariant scanning map from the configuration space to a section space and show that it is a weak equivalence. To achieve the equivariance the configuration space is mapped to a section space over the space of all disks in the ambient manifold.

Authors: Yon, H

• DOI: 10.5287/ora-doanneybe
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford