Lefschetz fixed point theorem for quantized canonical transformations
type: Item
instance of: scholarly article
title: Lefschetz fixed point theorem for quantized canonical transformations
zbMATH Open document ID: 0948.58018
DOI: 10.1007/BF02463207
author: Boris Sternin
author: Victor Shatalov
publication date: 2000-11-07T00:00:00Z
review text: The authors prove a fixed point theorem for a trace-class Fourier integral operator associated with a quantized canonical transformation of a closed manifold cotangent space. Their analysis of the leading term of the asymptotic trace formula reveals the term dependence on the transformation fixed points. With reference to reasoning by \textit{B. V. Fedosov} [in: Partial differential equations VIII. Encycl. Math. Sci. 65, 155-251 (1996; Zbl 0884.58087)], the authors show that their result generalizes the Atiyah-Bott-Lefschetz fixed point theorem.
reviewed by: Peter Haskell
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 53D22
zbMATH DE Number: 1407563
zbMATH Keywords: canonical transformation
zbMATH Keywords: Fourier integral operator
zbMATH Keywords: Atiyah-Bott-Lefschetz fixed point theorem
MaRDI profile type: Publication
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1407563