國立虎尾科技大學 |

Higher index theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Higher index theory/ Rufus Willett, Guoliang Yu.
作者:	Willett, Rufus.
其他作者:	Yu, Guoliang.
出版者:	Cambridge :Cambridge University Press, : 2020.,
面頁冊數:	xi, 581 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 11 Jun 2020).
標題:	Index theory (Mathematics) -
電子資源:	https://doi.org/10.1017/9781108867351
ISBN:	9781108867351

Higher index theory
Willett, Rufus.

Higher index theory[electronic resource] /Rufus Willett, Guoliang Yu. - Cambridge :Cambridge University Press,2020. - xi, 581 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;189. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 11 Jun 2020).

Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.

ISBN: 9781108867351Subjects--Topical Terms:

669689
Index theory (Mathematics)

LC Class. No.: QA614.92 / .W55 2020

Dewey Class. No.: 512.556

Higher index theory
LDR:01816nam a2200253 a 4500 001 1114151
003 UkCbUP
005 20200615100020.0
006 m d
007 cr nn 008maaau
008 231225s2020 enk o 1 0 eng d
020 $a 9781108867351 $q (electronic bk.)
020 $a 9781108491068 $q (hardback)
035 $a CR9781108867351
040 $a UkCbUP $b eng $c UkCbUP $d GP
050 0 0 $a QA614.92 $b .W55 2020
082 0 0 $a 512.556 $2 23
090 $a QA614.92 $b .W713 2020
100 1 $a Willett, Rufus. $3 1426859
245 1 0 $a Higher index theory $h [electronic resource] / $c Rufus Willett, Guoliang Yu.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a xi, 581 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 189
500 $a Title from publisher's bibliographic system (viewed on 11 Jun 2020).
520 $a Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.
650 0 $a Index theory (Mathematics) $3 669689
650 0 $a C*-algebras. $3 683012
650 0 $a K-theory. $3 672462
700 1 $a Yu, Guoliang. $e editor. $3 1309652
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/9781108867351