On the Rozansky-Witten TQFT

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 categ...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkki: Banks, P
Eará dahkkit: Juhasz, A
Materiálatiipa: Oahppočájánas
Giella:English
Almmustuhtton: 2020
Fáttát:
Govvádus
Čoahkkáigeassu: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.