- Abstract:
-
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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 697.2KB)
-
- Publisher copy:
- 10.4171/QT/108
-
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- Grant:
- European Union’s Horizon 2020 research and innovation programme (grant agreement No 674978)
- 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:
-
1664-073X
- ISSN:
-
1663-487X
- Pubs id:
-
pubs:729215
- URN:
-
uri:16021b4e-6b4d-4109-9fda-34d4461855be
- UUID:
-
uuid:16021b4e-6b4d-4109-9fda-34d4461855be
- Local pid:
- pubs:729215
- 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
Journal article
Defining and classifying TQFTs via surgery
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