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Title: Diffeomorphism-equivariant configuration spaces with twisted partial summable labels
Author: Yon, Hongyun
ISNI:       0000 0004 6494 4318
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2017
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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.
Supervisor: Tillmann, Ulrike Sponsor: Samsung
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available