Orbifolds and Stringy Topology

Erscheinungsjahr 2010
ISBN: 978-0-521-87004-7
Verlag: Cambridge University Press

Buch, Englisch, Band 171, 162 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 398 g

Reihe: Cambridge Tracts in Mathematics

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 new product for orbifolds and has had significant impact in recent years. The final chapter includes explicit computations for a number of interesting examples.

Autoren/Hrsg.

Adem, Alejandro

Leida, Johann

Ruan, Yongbin

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

Introduction; 1. Foundations; 2. Cohomology, bundles and morphisms; 3. Orbifold K-theory; 4. Chen-Ruan cohomology; 5. Calculating Chen-Ruan cohomology; Bibliography; Index.

Über Autor(innen)

Leida, Johann
Johann Leida was a graduate student at the University of Wisconsin where he obtained his PhD in 2006 with a thesis on the homotopy theory of orbifolds.

Ruan, Yongbin
Yongbin Ruan is Professor of Mathematics at the University of Michigan in Ann Arbor.

Adem, Alejandro
Alejandro Adem is Professor of Mathematics at the University of British Columbia in Vancouver.