Diffeomorphism-equivariant configuration spaces with twisted partial summable labels

Diffeomorphism-equivariant configuration spaces with twisted partial summable labels

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...

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Bibliographic Details
Main Author: Yon, H
Other Authors: Tillmann, U
Format: Thesis
Published: 2017
Description
Summary: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.

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