國立虎尾科技大學 |

Orbifolds and stringy topology /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Orbifolds and stringy topology // Alejandro Adem, Johann Leida and Yongbin Ruan.
其他題名:	Orbifolds & Stringy Topology
作者:	Adem, Alejandro,
其他作者:	Leida, Johann,
面頁冊數:	1 online resource (xi, 149 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Orbifolds. -
電子資源:	https://doi.org/10.1017/CBO9780511543081
ISBN:	9780511543081 (ebook)

Orbifolds and stringy topology /
Adem, Alejandro,

Orbifolds and stringy topology /Orbifolds & Stringy TopologyAlejandro Adem, Johann Leida and Yongbin Ruan. - 1 online resource (xi, 149 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;171. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology.

An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.

ISBN: 9780511543081 (ebook)Subjects--Topical Terms:

1442043
Orbifolds.

LC Class. No.: QA613 / .A424 2007

Dewey Class. No.: 514.34

Orbifolds and stringy topology /
LDR:02169nam a2200313 i 4500 001 1124481
003 UkCbUP
005 20151005020621.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2007||||enk o ||1 0|eng|d
020 $a 9780511543081 (ebook)
020 $z 9780521870047 (hardback)
035 $a CR9780511543081
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA613 $b .A424 2007
082 0 4 $a 514.34 $2 22
100 1 $a Adem, Alejandro, $e author. $3 1442040
245 1 0 $a Orbifolds and stringy topology / $c Alejandro Adem, Johann Leida and Yongbin Ruan.
246 3 $a Orbifolds & Stringy Topology
264 1 $a Cambridge : $b Cambridge University Press, $c 2007.
300 $a 1 online resource (xi, 149 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 171
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology.
520 $a An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.
650 0 $a Orbifolds. $3 1442043
650 0 $a Homology theory. $3 682984
650 0 $a Quantum theory. $3 568041
650 0 $a String models. $3 580067
650 0 $a Topology. $3 633483
700 1 $a Leida, Johann, $e author. $3 1442041
700 1 $a Ruan, Yongbin, $d 1963- $e author. $3 1442042
776 0 8 $i Print version: $z 9780521870047
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511543081