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Item Details
| Title:
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TORUS ACTIONS AND THEIR APPLICATIONS IN TOPOLOGY AND COMBINATORICS
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| By: |
V. M. Buchstaber, Taras Panov |
| Format: |
Paperback |
| List price:
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£61.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821831860 |
| ISBN 13: |
9780821831861 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 April, 2002 |
| Series: |
University Lecture Series No. 24 |
| Pages: |
152 |
| Description: |
Studies torus actions on topological spaces presented as a bridge - connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology - that helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. |
| Synopsis: |
This book presents the study of torus actions on topological spaces that is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a proper manifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements.This approach also provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of moment-angle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology.The book includes many new and well-known open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatorics and will help to establish even tighter connections between the subjects involved. |
| Illustrations: |
bibliography, index |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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