Adiabatic limits of \(\eta \)-invariants and the Meyer functions
type: Item
instance of: scholarly article
title: Adiabatic limits of \(\eta \)-invariants and the Meyer functions
zbMATH Open document ID: 1185.14026
author: Shuichi Iida
published in: Mathematische Annalen
publication date: 2010-01-29T00:00:00Z
review text: The authors aim to generalize an identity of Atiyah in which an automorphic form of higher dimension plays a role similar to the role of Dedekind eta function in Atiyah's study. They consider the signature cocycle of smooth theta divisors as a higher dimensional analogue of curves of genus 2, and they prove that the cohomology class of this cocycle vanishes rationally by constructing the Meyer function for smooth theta divisors. This rather long paper is clearly written and contains many interesting results with the help of methods of algebraic topology.
Mathematics Subject Classification ID: 14H42
Mathematics Subject Classification ID: 13L05
Mathematics Subject Classification ID: 12K05
Mathematics Subject Classification ID: 03A99
zbMATH DE Number: 5664554
zbMATH Keywords: adiabatic limit
zbMATH Keywords: Meyer functions
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
full work available at URL: s00208-009-0412-y
OpenAlex ID: W2098787164
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DOI: 10.1007/S00208-009-0412-Y
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description: scientific article; zbMATH DE number 5664554