Localisations of cobordism categories and invertible TFTs in dimension two
Cobordism categories have played an important role in classical geometry and more recently in mathematical treatments of quantum field theory. Here we will compute localisations of two-dimensional discrete cobordism categories. This allows us, up to equivalence, to determine the category of invertib...
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| Format: | Journal article |
| Language: | English |
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International Press
2013
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| Subjects: |
| _version_ | 1826306931510214656 |
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| author | Juer, R Tillmann, U |
| author_facet | Juer, R Tillmann, U |
| author_sort | Juer, R |
| collection | OXFORD |
| description | Cobordism categories have played an important role in classical geometry and more recently in mathematical treatments of quantum field theory. Here we will compute localisations of two-dimensional discrete cobordism categories. This allows us, up to equivalence, to determine the category of invertible two-dimensional topological field theories in the sense of Atiyah. We are able to treat the orientable, non-orientable, closed and open cases. |
| first_indexed | 2024-03-07T06:55:24Z |
| format | Journal article |
| id | oxford-uuid:fdfaa0f8-1799-4be9-9bb5-b51ab2c05c22 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:55:24Z |
| publishDate | 2013 |
| publisher | International Press |
| record_format | dspace |
| spelling | oxford-uuid:fdfaa0f8-1799-4be9-9bb5-b51ab2c05c222022-03-27T13:32:44ZLocalisations of cobordism categories and invertible TFTs in dimension twoJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fdfaa0f8-1799-4be9-9bb5-b51ab2c05c22MathematicsEnglishOxford University Research Archive - ValetInternational Press2013Juer, RTillmann, UCobordism categories have played an important role in classical geometry and more recently in mathematical treatments of quantum field theory. Here we will compute localisations of two-dimensional discrete cobordism categories. This allows us, up to equivalence, to determine the category of invertible two-dimensional topological field theories in the sense of Atiyah. We are able to treat the orientable, non-orientable, closed and open cases. |
| spellingShingle | Mathematics Juer, R Tillmann, U Localisations of cobordism categories and invertible TFTs in dimension two |
| title | Localisations of cobordism categories and invertible TFTs in dimension two |
| title_full | Localisations of cobordism categories and invertible TFTs in dimension two |
| title_fullStr | Localisations of cobordism categories and invertible TFTs in dimension two |
| title_full_unstemmed | Localisations of cobordism categories and invertible TFTs in dimension two |
| title_short | Localisations of cobordism categories and invertible TFTs in dimension two |
| title_sort | localisations of cobordism categories and invertible tfts in dimension two |
| topic | Mathematics |
| work_keys_str_mv | AT juerr localisationsofcobordismcategoriesandinvertibletftsindimensiontwo AT tillmannu localisationsofcobordismcategoriesandinvertibletftsindimensiontwo |