The involutions of compact symmetric spaces. IV
type: Item
instance of: scholarly article
title: The involutions of compact symmetric spaces. IV
zbMATH Open document ID: 0951.53035
author: Tadashi Nagano
author: Makiko S. Tanaka
published in: Tokyo Journal of Mathematics
publication date: 1999-09-22T00:00:00Z
review text: This paper discusses and determines the signature \(\tau(M)\) and the \(g\)-signature \(g-\tau(M)\) of every compact oriented symmetric space \(M\) as well as the self-intersections \(SI(N;M)\) of subspaces \(N\) in \(M\) which are related to \(g-\tau(M)\) by the \(g\)-signature theorem or the generalized Lefschetz fixed point theorem of Atiyah-Singer in case \(g\) is an orientation-preserving involution of \(M\). In addition, a geometric application is given, as an example.
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 1340497
zbMATH Keywords: compact symmetric space
zbMATH Keywords: self-intersection
zbMATH Keywords: signature
zbMATH Keywords: Lefschetz fixed point theorem
reviewed by: Kaarin Riives
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270041622
OpenAlex ID: W4253650119
DOI: 10.3836/TJM/1270041622
description: scientific article; zbMATH DE number 1340497