Journal article
Defining and classifying TQFTs via surgery
- Abstract:
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We give a presentation of the n-dimensional oriented cobordism category Cobn with generators corresponding to diffeomorphisms and surgeries along framed spheres, and a complete set of relations. Hence, given a functor F from the category of smooth oriented manifolds and diffeomorphisms to an arbitrary category C, and morphisms induced by surgeries along framed spheres, we obtain a necessary and sufficient set of relations these have to satisfy to extend to a functor from Cobn to C. If C is sy...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 697.2KB)
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- Publisher copy:
- 10.4171/QT/108
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Authors
Funding
+ European Research Council
More from this funder
Grant:
European
Union’sHorizon2020research
innovationprogramme(grantagreement
No674978
Bibliographic Details
- Publisher:
- European Mathematical Society Publisher's website
- Journal:
- Quantum Topology Journal website
- Volume:
- 9
- Issue:
- 2
- Pages:
- 229–321
- Publication date:
- 2018-02-09
- Acceptance date:
- 2017-09-17
- DOI:
- EISSN:
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1664-073X
- ISSN:
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1663-487X
- Source identifiers:
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729215
Item Description
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 European Mathematical Society. This is the accepted manuscript version of the article. The final version is available online from European Mathematical Society at: https://doi.org/10.4171/QT/108
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