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Operads in Algebra, Topology and Physics Volume 96 by Martin Markl, Steve Shnider, and Jim Stasheff is a nonfiction available to read on EtoBox.

What is Operads in Algebra, Topology and Physics Volume 96 about?

Operads are mathematical devices which 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 first appeared in the sixties though the formal definition and appropriate generality waited for the seventies. These early occurrences were in algebraic topology in the study of (iterated) loop spaces and their chain algebras. In the nineties, there was a renaissance and further development of the theory 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, not least, theoretical physics, especially string field theory and deformation quantization. The generalization of quadratic duality (e.g., Lie algebras as dual to commutative algebras) together with the property of Koszulness in an essentially operadic context provided an additional computational tool for studying homotopy properties outside of the to

Who reads Operads in Algebra, Topology and Physics Volume 96?

Author

Martin Markl, Steve Shnider, and Jim Stasheff

Publisher

American Mathematical Society

Published

2002

Language

EN

ISBN

9786819582104

Category

nonfiction

Subjects

Mathematics, Stem