Witten genus and vanishing results on complete intersections
type: Item
instance of: scholarly article
title: Witten genus and vanishing results on complete intersections
zbMATH Open document ID: 1210.53054
author: Qingtao Chen
author: Fei Han
author: Weiping Zhang
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2010-03-29T00:00:00Z
review text: 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.
reviewed by: Joseph D. Zund
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 57R15
Mathematics Subject Classification ID: 57R57
zbMATH DE Number: 5687615
zbMATH Keywords: Witten genus
zbMATH Keywords: \(\text{spin}^c\) manifolds
zbMATH Keywords: \(\text{string}^c\) manifolds
MaRDI profile type: Publication
full work available at URL: j.crma.2010.02.005
OpenAlex ID: W2009693265
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DOI: 10.1016/J.CRMA.2010.02.005
description: scientific article; zbMATH DE number 5687615