Operads
Subtitle: proceedings of renaissance conferences
By: Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors.
Contributors: Loday, Jean-Louis.; Stasheff, James D.; Voronov, Alexander A.
Series: Contemporary mathematics,; 202; Contemporary mathematics (American Mathematical Society) ;; v. 202.
Publisher: American Mathematical Society; Amer Mathematical Society
Published: 1997
Place of publication: Providence, R.I
Language: eng
Number of pages: 443
Subjects: Operads -- Congresses.; Ordered algebraic structures -- Congresses.; Moduli theory -- Congresses.; Representations of algebras -- Congresses.
Genres: Congresses.
Description: "Operads" are mathematical devices which model many sorts of algebras (such as associative, commutative, Lie, Poisson, alternative, Leibniz, etc., including those defined up to homotopy, such as [actual symbol not reproducible]).

Since the notion of an operad appeared in the seventies in algebraic topology, there has been a renaissance of this theory due to the discovery of relationships with graph cohomology, Koszul duality, representation theory, combinatorics, cyclic cohomology, moduli spaces, knot theory, and quantum field theory.

This renaissance was recognized at a special session "Moduli Spaces, Operads, and Representation Theory" of the AMS meeting in Hartford, CT (March 1995), and at a conference "Operades et Algebre Homotopique" held at the Centre International de Rencontres Mathematiques at Luminy, France (May-June 1995). Both meetings drew a diverse group of researchers.

The authors have arranged the contributions so as to emphasize certain themes around which the renaissance of operads took place: homotopy algebra, algebraic topology, polyhedra and combinatorics, and applications to physics.
Notes: Includes one contribution in French.
Includes bibliographical references and index.
"Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May-June 1995, Hartford, Connecticut/Luminy, France."