**Contemporary Mathematics**

Volume: 227;
1999;
321 pp;
Softcover

MSC: Primary 55; 18; 81;
Secondary 58; 17

Print ISBN: 978-0-8218-0913-6

Product Code: CONM/227

List Price: $89.00

AMS Member Price: $71.20

MAA Member Price: $80.10

**Electronic ISBN: 978-0-8218-7818-7
Product Code: CONM/227.E**

List Price: $89.00

AMS Member Price: $71.20

MAA Member Price: $80.10

# Higher Homotopy Structures in Topology and Mathematical Physics

Share this page *Edited by *
*John McCleary*

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

## Higher Homotopy Structures in Topology and Mathematical Physics

- Contents vii8 free
- Preface ix10 free
- Invited addresses xi12 free
- Contributed papers xi12
- Participants xii13 free
- An appreciation of the work of Jim Stasheff 114 free
- The cohomology flat product and the Berstein algebra of a co-H-space 1730
- Spaces of local vector fields 2134
- Operads from the viewpoint of categorical algebra 2942
- Double loop spaces, braided monoidal categories and algebraic 3-type of space 4962
- Poisson brackets with divergence terms in field theories: Three examples 6780
- Grassmanian and elliptic operators 7992
- On the deformation of rings and algebras V: Deformation of differential graded algebras 89102
- Perturbation and transfer of generic algebraic structure 103116
- Extensions of Lie-Rinehart algebras and the Chern-Weil construction 145158
- On the category of fibre bundles, Lie groups, and Frobenius maps 177190
- Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions 191204
- Commutators of A∞ structures 227240
- Simplex, associahedron, and cyclohedron 235248
- Rings of generalized and stable invariants and classifying spaces of compact Lie groups 267280
- Block bundle origin of stable block bundle homotopy 287300
- On p-minimal homological models of twisted tensor products of elementary complexes localised over a prime 303316
- Stability of the rational homotopy type of moduli spaces 315328