Witten genus and vanishing results on complete intersections (Q961002)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Witten genus and vanishing results on complete intersections |
scientific article; zbMATH DE number 5687615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Witten genus and vanishing results on complete intersections |
scientific article; zbMATH DE number 5687615 |
Statements
Witten genus and vanishing results on complete intersections (English)
0 references
29 March 2010
0 references
The authors construct a \(\text{mod\,}2\) analogue of the Witten genus for \(8k+2\)-dimensional spin manifolds, and modular characteristic numbers for a class of \(\text{spin}^c\) manifolds which they call \(\text{string}^c\) manifolds. If these \(\text{string}^c\) manifolds are spin manifolds one recovers the Witten genus. They conclude by showing these genera vanish on complete intersections in complex projective spaces.
0 references
Witten genus
0 references
\(\text{spin}^c\) manifolds
0 references
\(\text{string}^c\) manifolds
0 references
