On elliptic genera and theta-functions
type: Item
instance of: scholarly article
title: On elliptic genera and theta-functions
zbMATH Open document ID: 0858.57034
DOI: 10.1016/0040-9383(95)00042-9
published in: Topology
publication date: 1997-04-02T00:00:00Z
review text: The author gives a unified new proof of the Witten rigidity theorem for some elliptic operators commuting with a circle action. He makes essential use of a new feature of loop spaces and loop groups, the modular invariance. Actually he shows that modular invariance implies rigidity. Some new properties of elliptic genera and their relationships with theta functions are also discussed.
reviewed by: Francisco Gómez
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J26
zbMATH DE Number: 912192
zbMATH Keywords: Witten rigidity theorem
zbMATH Keywords: elliptic operators
zbMATH Keywords: loop spaces
zbMATH Keywords: loop groups
zbMATH Keywords: elliptic genera
zbMATH Keywords: theta functions
author: Kefeng Liu
MaRDI profile type: Publication
full work available at URL: 0040-9383(95)00042-9
OpenAlex ID: W1996546249
description: scientific article; zbMATH DE number 912192