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The geometry of spherical space form groups

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The geometry of spherical space form groups/ Peter B. Gilkey.
Author:	Gilkey, Peter B.
Published:	Singapore :World Scientific, : c2018.,
Description:	1 online resource (508 p.) :ill. (some col.) :
Subject:	K-theory. -
Online resource:	https://www.worldscientific.com/worldscibooks/10.1142/10467#t=toc
ISBN:	9789813220799

The geometry of spherical space form groups
Gilkey, Peter B.

The geometry of spherical space form groups[electronic resource] /Peter B. Gilkey. - 2nd ed. - Singapore :World Scientific,c2018. - 1 online resource (508 p.) :ill. (some col.) - Series in pure mathematics,v. 281793-1185 ;. - Series in pure mathematics ;v. 28..

Includes bibliographical references (p. 477-488) and index.

"This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved."--

Electronic reproduction.
Singapore :
World Scientific,
[2017]

Mode of access: World Wide Web.

ISBN: 9789813220799Subjects--Topical Terms:

672462
K-theory.

LC Class. No.: QA612.33 / .G55 2018

Dewey Class. No.: 514/.23

The geometry of spherical space form groups
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300 $a 1 online resource (508 p.) : $b ill. (some col.)
490 1 $a Series in pure mathematics, $x 1793-1185 ; $v v. 28
504 $a Includes bibliographical references (p. 477-488) and index.
520 $a "This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved."-- $c Provided by publisher.
533 $a Electronic reproduction. $b Singapore : $c World Scientific, $d [2017]
538 $a Mode of access: World Wide Web.
588 $a Description based on online resource; title from PDF title page (viewed January 4, 2018)
650 0 $a K-theory. $3 672462
650 0 $a Topological transformation groups. $3 895422
650 0 $a Electronic books. $3 567981
830 0 $a Series in pure mathematics ; $v v. 28. $3 1240311
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10467#t=toc