Thesis
On the Rozansky-Witten TQFT
- Abstract:
- This thesis studies a potential method for constructing the Rozansky--Witten TQFT as an extended $(1+1+1)$-TQFT. A monoidal $2$-category consisting of schemes, complexes of sheaves and sheaf morphisms is constructed, and it is shown that there are $(1+1)$-TQFTs valued in the truncation of this category, whose state spaces agree with the Rozansky--Witten TQFT. However, it is also shown that if such a TQFT is based on a reduced Noetherian scheme, it cannot be extended upwards to a $(1+1+1)$-TQFT.
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(Preview, Dissemination version, pdf, 1.2MB, Terms of use)
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Authors
Contributors
+ Juhasz, A
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Sub department:
- Mathematical Institute
- Oxford college:
- Keble College
- Role:
- Supervisor
- ORCID:
- 0000-0003-3705-2288
+ European Research Council
More from this funder
- Funder identifier:
- http://dx.doi.org/10.13039/501100000781
- Grant:
- 674978
- Programme:
- European Union’s Horizon 2020 research and innovation programme
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
-
English
- Keywords:
- Subjects:
- Deposit date:
-
2021-11-14
- ARK identifier:
Terms of use
- Copyright holder:
- Banks, P
- Copyright date:
- 2020
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