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Higher Homotopy Structures in Topology and Mathematical Physics
 
Edited by: John McCleary Vassar College, Poughkeepsie, NY
Higher Homotopy Structures in Topology and Mathematical Physics
eBook ISBN:  978-0-8218-7818-7
Product Code:  CONM/227.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Higher Homotopy Structures in Topology and Mathematical Physics
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Higher Homotopy Structures in Topology and Mathematical Physics
Edited by: John McCleary Vassar College, Poughkeepsie, NY
eBook ISBN:  978-0-8218-7818-7
Product Code:  CONM/227.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2271999; 321 pp
    MSC: Primary 55; 18; 81; Secondary 58; 17

    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
     
     
    • Articles
    • John McCleary — An appreciation of the work of Jim Stasheff [ MR 1665456 ]
    • Martin Arkowitz and Hans Scheerer — The cohomology flat product and the Berstein algebra of a co-$H$-space [ MR 1665457 ]
    • J. C. Becker and D. H. Gottlieb — Spaces of local vector fields [ MR 1665458 ]
    • Tibor Beke — Operads from the viewpoint of categorical algebra [ MR 1665459 ]
    • Clemens Berger — Double loop spaces, braided monoidal categories and algebraic $3$-type of space [ MR 1665460 ]
    • L. A. Dickey — Poisson brackets with divergence terms in field theories: three examples [ MR 1665461 ]
    • Leonid Friedlander and Albert Schwarz — Grassmannian and elliptic operators [ MR 1665462 ]
    • Murray Gerstenhaber and Clarence W. Wilkerson — On the deformation of rings and algebras. V. Deformation of differential graded algebras [ MR 1665463 ]
    • Kathryn Hess — Perturbation and transfer of generic algebraic structure [ MR 1665464 ]
    • Johannes Huebschmann — Extensions of Lie-Rinehart algebras and the Chern-Weil construction [ MR 1665465 ]
    • I. M. James and W. Singhof — On the category of fibre bundles, Lie groups, and Frobenius maps [ MR 1665466 ]
    • Mikhail M. Kapranov and Masahico Saito — Hidden Stasheff polytopes in algebraic $K$-theory and in the space of Morse functions [ MR 1665467 ]
    • Tom Lada — Commutators of $A_\infty $ structures [ MR 1665468 ]
    • Martin Markl — Simplex, associahedron, and cyclohedron [ MR 1665469 ]
    • Frank Neumann, Mara D. Neusel and Larry Smith — Rings of generalized and stable invariants and classifying spaces of compact Lie groups [ MR 1665470 ]
    • Duane Randall — Block bundle origin of stable block bundle homotopy [ MR 1665471 ]
    • José A. Armario, Pedro Real and Beatriz Silva — On $p$-minimal homological models of twisted tensor products of elementary complexes localised over a prime [ MR 1665472 ]
    • Alexander A. Voronov — Stability of the rational homotopy type of moduli spaces [ MR 1665473 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2271999; 321 pp
MSC: Primary 55; 18; 81; Secondary 58; 17

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.

  • Articles
  • John McCleary — An appreciation of the work of Jim Stasheff [ MR 1665456 ]
  • Martin Arkowitz and Hans Scheerer — The cohomology flat product and the Berstein algebra of a co-$H$-space [ MR 1665457 ]
  • J. C. Becker and D. H. Gottlieb — Spaces of local vector fields [ MR 1665458 ]
  • Tibor Beke — Operads from the viewpoint of categorical algebra [ MR 1665459 ]
  • Clemens Berger — Double loop spaces, braided monoidal categories and algebraic $3$-type of space [ MR 1665460 ]
  • L. A. Dickey — Poisson brackets with divergence terms in field theories: three examples [ MR 1665461 ]
  • Leonid Friedlander and Albert Schwarz — Grassmannian and elliptic operators [ MR 1665462 ]
  • Murray Gerstenhaber and Clarence W. Wilkerson — On the deformation of rings and algebras. V. Deformation of differential graded algebras [ MR 1665463 ]
  • Kathryn Hess — Perturbation and transfer of generic algebraic structure [ MR 1665464 ]
  • Johannes Huebschmann — Extensions of Lie-Rinehart algebras and the Chern-Weil construction [ MR 1665465 ]
  • I. M. James and W. Singhof — On the category of fibre bundles, Lie groups, and Frobenius maps [ MR 1665466 ]
  • Mikhail M. Kapranov and Masahico Saito — Hidden Stasheff polytopes in algebraic $K$-theory and in the space of Morse functions [ MR 1665467 ]
  • Tom Lada — Commutators of $A_\infty $ structures [ MR 1665468 ]
  • Martin Markl — Simplex, associahedron, and cyclohedron [ MR 1665469 ]
  • Frank Neumann, Mara D. Neusel and Larry Smith — Rings of generalized and stable invariants and classifying spaces of compact Lie groups [ MR 1665470 ]
  • Duane Randall — Block bundle origin of stable block bundle homotopy [ MR 1665471 ]
  • José A. Armario, Pedro Real and Beatriz Silva — On $p$-minimal homological models of twisted tensor products of elementary complexes localised over a prime [ MR 1665472 ]
  • Alexander A. Voronov — Stability of the rational homotopy type of moduli spaces [ MR 1665473 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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