Operads in Algebra, Topology and Physics

Language: English

Published by American Mathematical Society, US, 2002

0821843621 / 9780821843628

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'Operads are powerful tools, and this is the book in which to read about them' - ""Bulletin of the London Mathematical Society"". Operads are mathematical devices that describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of 'homotopy', where they play a key role in organizing hierarchies of higher homotopies. Significant examples from algebraic topology first appeared in the sixties, although the formal definition and appropriate generality were not forged until the seventies. In the nineties, a renaissance and further development of the theory were inspired by the discovery of new relationships with graph cohomology, representation theory, algebraic geometry, derived categories, Morse theory, symplectic and contact geometry, combinatorics, knot theory, moduli spaces, cyclic cohomology, and, last but not least, theoretical physics, especially string field theory and deformation quantization. The book contains a detailed and comprehensive historical introduction describing the development of operad theory from the initial period when it was a rather specialized tool in homotopy theory to the present when operads have a wide range of applications in algebra, topology, and mathematical physics. Many results and applications currently scattered in the literature are brought together here along with new results and insights. The basic definitions and constructions are carefully explained and include many details not found in any of the standard literature.

Seller Inventory # LU-9780821843628

Title
Operads in Algebra, Topology and Physics
Author
Martin Markl, Steve Shnider, Jim Stasheff
Publisher
American Mathematical Society, US
Publication year
2002
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821843621
ISBN 13
9780821843628
Item weight
640 grams
Dimensions
17.78 x 1.91 x 25.4 cm

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