Journal article

### Defining and classifying TQFTs via surgery

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...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 697.2KB)
Publisher copy:
10.4171/QT/108

### Authors

More by this author
Institution:
University of Oxford
Oxford college:
Keble College
Role:
Author
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Funding agency for:
Juhasz, A
Grant:
Research Fellowship
More from this funder
Grant:
European Union’sHorizon2020research
innovationprogramme(grantagreement No674978
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
Source identifiers:
729215
Keywords:
Pubs id:
pubs:729215
UUID:
uuid:16021b4e-6b4d-4109-9fda-34d4461855be
Local pid:
pubs:729215
Deposit date:
2017-09-17