Orbifolds and stringy topology

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Orbifolds and stringy topology / Alejandro Adem, Johann Leida, Yongbin Ruan

資料種別:

図書

出版情報:

Cambridge : Cambridge University Press, 2007

形態:

xi, 149 p. ; 24 cm

シリーズ名:

Cambridge tracts in mathematics ; 171 <BA00134372>

著者名:

ISBN:

9780521870047 [0521870046] (: hard)

書誌ID:

BA81981513

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. [138]-145) and index

主題:

Manifolds (Mathematics); Orbifolds; Topology

言語:

英語

目次情報:

Introduction

Foundations / 1：

Classical effective orbifolds / 1.1：

Examples / 1.2：

Comparing orbifolds to manifolds / 1.3：

Groupoids / 1.4：

Orbifolds as singular spaces / 1.5：

Cohomology, bundles and morphisms / 2：

De Rham and singular cohomology of orbifolds / 2.1：

The orbifold fundamental group and covering spaces / 2.2：

Orbifold vector bundles and principal bundles / 2.3：

Orbifold morphisms / 2.4：

Classification of orbifold morphisms / 2.5：

Orbifold K-theory / 3：

Orbifolds, group actions, and Bredon cohomology / 3.1：

Orbifold bundles and equivariant K-theory / 3.3：

A decomposition for orbifold K-theory / 3.4：

Projective representations, twisted group algebras, and extensions / 3.5：

Twisted equivariant K-theory / 3.6：

Twisted orbifold K-theory and twisted Bredon cohomology / 3.7：

Chen-Ruan cohomology / 4：

Twisted sectors / 4.1：

Degree shifting and Poincare pairing / 4.2：

Cup product / 4.3：

Some elementary examples / 4.4：

Chen-Ruan cohomology twisted by a discrete torsion / 4.5：

Calculating Chen-Ruan cohomology / 5：

Abelian orbifolds / 5.1：

Symmetric products / 5.2：

References

Index

Introduction

Foundations / 1：

Classical effective orbifolds / 1.1：

Examples / 1.2：

Comparing orbifolds to manifolds / 1.3：

Groupoids / 1.4：

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