Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.729404 |
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Title: | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels | ||||||
Author: | Yon, Hongyun |
ISNI:
0000 0004 6494 4318
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Awarding Body: | University of Oxford | ||||||
Current Institution: | University of Oxford | ||||||
Date of Award: | 2017 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
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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Supervisor: | Tillmann, Ulrike | Sponsor: | Samsung | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.729404 | DOI: | Not available | ||||
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