Contemporary Mathematics 1999; 321 pp; softcover Volume: 227 ISBN10: 082180913X ISBN13: 9780821809136 List Price: US$89 Member Price: US$71.20 Order Code: CONM/227
 Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on \(H\)spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas. Features:  Accessible to a broad audience interested in mathematics and physics.
 Offers a comprehensive overview of Stasheff's work.
 Contains papers on very current research topics, including operads, combinatorial polyhedra, and moduli spaces.
Readership Graduate students and research mathematicians working in topology, homological algebra and mathematical physics; physicists. Table of Contents  J. McCleary  An appreciation of the work of Jim Stasheff
 M. Arkowitz and H. Scheerer  The cohomology flat product and the Berstein algebra of a coHspace
 J. C. Becker and D. H. Gottlieb  Spaces of local vector fields
 T. Beke  Operads from the viewpoint of categorical algebra
 C. Berger  Double loop spaces, braided monoidal categories and algebraic 3type of space
 L. A. Dickey  Poisson brackets with divergence terms in field theories: Three examples
 L. Friedlander and A. Schwarz  Grassmannian and elliptic operators
 M. Gerstenhaber and C. W. Wilkerson  On the deformation of rings and algebras. V: Deformation of differential graded algebras
 K. Hess  Perturbation and transfer of generic algebraic structure
 J. Huebschmann  Extensions of LieRinehart algebras and the ChernWeil construction
 I. M. James and W. Singhof  On the category of fibre bundles, Lie groups, and Frobenius maps
 M. M. Kapranov and M. Saito  Hidden Stasheff polytopes in algebraic \(K\)theory and in the space of Morse functions
 T. Lada  Commutators of \(A_\infty\) structures
 M. Markl  Simplex, associahedron, and cyclohedron
 F. Neumann, M. D. Neusel, and L. Smith  Rings of generalized and stable invariants and classifying spaces of compact Lie groups
 D. Randall  Block bundle origin of stable block bundle homotopy
 J. A. Armario, P. Real, and B. Silva  On \(p\)minimal homological models of twisted tensor products of elementary complexes localised over a prime
 A. A. Voronov  Stability of the rational homotopy type of moduli spaces
