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 |
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 |
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Book DetailsContemporary MathematicsVolume: 227; 1999; 321 ppMSC: 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.
ReadershipGraduate students and research mathematicians working in topology, homological algebra and mathematical physics; physicists.
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Table of Contents
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Articles
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John McCleary — An appreciation of the work of Jim Stasheff [ MR 1665456 ]
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Martin Arkowitz and Hans Scheerer — The cohomology flat product and the Berstein algebra of a co-$H$-space [ MR 1665457 ]
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J. C. Becker and D. H. Gottlieb — Spaces of local vector fields [ MR 1665458 ]
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Tibor Beke — Operads from the viewpoint of categorical algebra [ MR 1665459 ]
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Clemens Berger — Double loop spaces, braided monoidal categories and algebraic $3$-type of space [ MR 1665460 ]
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L. A. Dickey — Poisson brackets with divergence terms in field theories: three examples [ MR 1665461 ]
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Leonid Friedlander and Albert Schwarz — Grassmannian and elliptic operators [ MR 1665462 ]
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Murray Gerstenhaber and Clarence W. Wilkerson — On the deformation of rings and algebras. V. Deformation of differential graded algebras [ MR 1665463 ]
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Kathryn Hess — Perturbation and transfer of generic algebraic structure [ MR 1665464 ]
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Johannes Huebschmann — Extensions of Lie-Rinehart algebras and the Chern-Weil construction [ MR 1665465 ]
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I. M. James and W. Singhof — On the category of fibre bundles, Lie groups, and Frobenius maps [ MR 1665466 ]
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Mikhail M. Kapranov and Masahico Saito — Hidden Stasheff polytopes in algebraic $K$-theory and in the space of Morse functions [ MR 1665467 ]
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Tom Lada — Commutators of $A_\infty $ structures [ MR 1665468 ]
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Martin Markl — Simplex, associahedron, and cyclohedron [ MR 1665469 ]
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Frank Neumann, Mara D. Neusel and Larry Smith — Rings of generalized and stable invariants and classifying spaces of compact Lie groups [ MR 1665470 ]
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Duane Randall — Block bundle origin of stable block bundle homotopy [ MR 1665471 ]
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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 ]
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Alexander A. Voronov — Stability of the rational homotopy type of moduli spaces [ MR 1665473 ]
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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.
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 ]