On the Rozansky-Witten TQFT

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...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Banks, P
Weitere Verfasser: Juhasz, A
Format: Abschlussarbeit
Sprache:English
Veröffentlicht: 2020
Schlagworte:
Algebraic topology
Beschreibung
Zusammenfassung: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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