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Operads in algebra, topology, and physics

Author: Martin Markl; S Shnider; James D Stasheff
Publisher: Providence, R.I. : American Mathematical Society, [2002] ©2002
Series: Mathematical surveys and monographs, no. 96.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

Operads are mathematical devices which describe algebraic structures of many varieties. This book contains an introduction describing the development of operad theory from the initial period when it  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Markl, Martin, 1960-
Operads in algebra, topology, and physics.
Providence, R.I. : American Mathematical Society, c2002
(DLC) 2002016342
(OCoLC)48810307
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Martin Markl; S Shnider; James D Stasheff
ISBN: 9781470413231 147041323X
OCLC Number: 879576639
Description: 1 online resource (x, 349 pages) : illustrations.
Contents: Introduction and History --
A prehistory --
Lazard's formal group laws --
PROPs and PACTs --
Non-[Sigma] operads and operads --
Theories --
Tree operads --
A[subscript [infinity]-spaces and loop spaces --
E[subscript [infinity]-spaces and iterated loop spaces --
A[subscript [infinity]-algebras --
Partiality and A[subscript [infinity]-categories --
L[subscript [infinity]-algebras --
C[subscript [infinity]-algebras --
n-ary algebras --
Operadic bar construction and Koszul duality --
Cyclic operads --
Moduli spaces and modular operads --
Operadic interpretation of closed string field theory --
From topological operads to dg operads --
Homotopy invariance in algebra and topology --
Formality, quantization and Deligne's conjecture --
Insertion operads --
Operads in a Symmetric Monoidal Category --
Symmetric monoidal categories --
Operads --
Pseudo-operads --
Operad algebras --
The pseudo-operad of labeled rooted trees --
The Stasheff associahedra --
Operads defined in terms of arbitrary finite sets --
Operads as monoids --
Free operads and free pseudo-operads --
Collections, K-collections and K-operads --
The GK-construction --
Triples --
Topology--Review of Classical Results --
Iterated loop spaces --
Recognition --
The bar construction: theme and variations --
Approximation --
[Gamma]-spaces --
Homology operations --
The linear isometries operad and infinite loop spaces --
W-construction --
Algebraic structures up to strong homotopy --
Algebra --
The cobar complex of an operad --
Quadratic operads --
Koszul operads.
Series Title: Mathematical surveys and monographs, no. 96.
Responsibility: Martin Markl, Steve Shnider, Jim Stasheff.

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