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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| Other Authors: | |
| Format: | Thesis |
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2017
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| _version_ | 1826291810364817408 |
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| author | Yon, H |
| author2 | Tillmann, U |
| author_facet | Tillmann, U Yon, H |
| author_sort | Yon, H |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T03:05:03Z |
| format | Thesis |
| id | oxford-uuid:b2371bfa-d34e-420a-9b02-f3e2159e076d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:05:03Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oxford-uuid:b2371bfa-d34e-420a-9b02-f3e2159e076d2022-03-27T04:10:11ZDiffeomorphism-equivariant configuration spaces with twisted partial summable labelsThesishttp://purl.org/coar/resource_type/c_db06uuid:b2371bfa-d34e-420a-9b02-f3e2159e076dORA Deposit2017Yon, HTillmann, UWe 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. |
| spellingShingle | Yon, H Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title_full | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title_fullStr | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title_full_unstemmed | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title_short | Diffeomorphism-equivariant configuration spaces with twisted partial summable labels |
| title_sort | diffeomorphism equivariant configuration spaces with twisted partial summable labels |
| work_keys_str_mv | AT yonh diffeomorphismequivariantconfigurationspaceswithtwistedpartialsummablelabels |