Higher Homotopy Structures in Topology and Mathematical Physics

Author:   John McCleary
Publisher:   American Mathematical Society
Volume:   No. 227
ISBN:  

9780821809136


Pages:   321
Publication Date:   30 November 1998
Format:   Paperback
Availability:   To order   Availability explained
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Higher Homotopy Structures in Topology and Mathematical Physics


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Overview

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.

Full Product Details

Author:   John McCleary
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 227
Weight:   0.595kg
ISBN:  

9780821809136


ISBN 10:   082180913
Pages:   321
Publication Date:   30 November 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

An appreciation of the work of Jim Stasheff by J. McCleary The cohomology flat product and the Berstein algebra of a co-H-space by M. Arkowitz and H. Scheerer Spaces of local vector fields by J. C. Becker and D. H. Gottlieb Operads from the viewpoint of categorical algebra by T. Beke Double loop spaces, braided monoidal categories and algebraic 3-type of space by C. Berger Poisson brackets with divergence terms in field theories: Three examples by L. A. Dickey Grassmannian and elliptic operators by L. Friedlander and A. Schwarz On the deformation of rings and algebras. V: Deformation of differential graded algebras by M. Gerstenhaber and C. W. Wilkerson Perturbation and transfer of generic algebraic structure by K. Hess Extensions of Lie-Rinehart algebras and the Chern-Weil construction by J. Huebschmann On the category of fibre bundles, Lie groups, and Frobenius maps by I. M. James and W. Singhof Hidden Stasheff polytopes in algebraic $K$-theory and in the space of Morse functions by M. M. Kapranov and M. Saito Commutators of $A_\infty$ structures by T. Lada Simplex, associahedron, and cyclohedron by M. Markl Rings of generalized and stable invariants and classifying spaces of compact Lie groups by F. Neumann, M. D. Neusel, and L. Smith Block bundle origin of stable block bundle homotopy by D. Randall On $p$-minimal homological models of twisted tensor products of elementary complexes localised over a prime by J. A. Armario, P. Real, and B. Silva Stability of the rational homotopy type of moduli spaces by A. A. Voronov.

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