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Topology, \(C^*\)-Algebras, and String Duality
Jonathan Rosenberg, University of Maryland, College Park, MD
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
2009; 110 pp; softcover
Number: 111
ISBN-10: 0-8218-4922-0
ISBN-13: 978-0-8218-4922-4
List Price: US$33
Member Price: US$26.40
All Individuals: US$26.40
Order Code: CBMS/111
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See also:

Quantum Fields and Strings: A Course for Mathematicians - Pierre Deligne, Pavel Etingof, Daniel S Freed, Lisa C Jeffrey, David Kazhdan, John W Morgan, David R Morrison and Edward Witten

Dirichlet Branes and Mirror Symmetry - Paul S Aspinwall, Tom Bridgeland, Alastair Craw, Michael R Douglas, Mark Gross, Anton Kapustin, Gregory W Moore, Graeme Segal, Balazs Szendroi and PMH Wilson

Operads in Algebra, Topology and Physics - Martin Markl, Steve Shnider and Jim Stasheff

String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras.

The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a more-or-less equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.

A co-publication of the AMS and CBMS.

Readership

Graduate students and research mathematicians interested in mathematical physics, particularly string theory; topology; C*-algebras.

Reviews

"Rosenberg manages to state the main results, give the most illuminating examples and explain the most important ideas of the proofs. It can be highly recommended as a concise introduction to the subjects [discussed in this book]."

-- Mathematical Reviews

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