國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The geometry of spherical space form...

Gilkey, Peter B.

The geometry of spherical space form groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The geometry of spherical space form groupsPeter B. Gilkey.
作者:	Gilkey, Peter B.
出版者:	Singapore :World Scientific,c2018.
面頁冊數:	1 online resource (508 p.) :ill. (some col.)
標題:	K-theory.
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/10467#t=toc
ISBN:	9789813220799$q(electronic bk.)

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: 9789813220799$q(electronic bk.)Subjects--Topical Terms:

190877
K-theory.

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

Dewey Class. No.: 514/.23

The geometry of spherical space form groups
LDR:02517cmm a2200313 a 4500 001 557641
003 WSP
005 20171213214737.1
006 m o d
007 cr cnu---unuuu
008 191203s2018 si a ob 001 0 eng d
010 $z 2017050792
020 $a 9789813220799$q(electronic bk.)
020 $z 9789813220782$q(hbk.)
035 $a 00010467
040 $a WSPC $b eng $c WSPC
041 0 $a eng
050 0 4 $a QA612.33 $b .G55 2018
082 0 4 $a 514/.23 $2 23
100 1 $a Gilkey, Peter B. $3 648083
245 1 4 $a The geometry of spherical space form groups $h [electronic resource] / $c Peter B. Gilkey.
250 $a 2nd ed.
260 $a Singapore : $b World Scientific, $c c2018.
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 190877
650 0 $a Topological transformation groups. $3 347686
650 0 $a Electronic books. $3 242495
830 0 $a Series in pure mathematics ; $v v. 28. $3 840144
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10467#t=toc