Toric topology
Resource Information
The work Toric topology represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Toric topology
Resource Information
The work Toric topology represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Toric topology
 Statement of responsibility
 Victor M. Buchstaber, Taras E. Panov
 Subject

 Algebraic topology  Homology and cohomology theories  Bordism and cobordism theories, formal group laws
 Algebraic topology  Homology and cohomology theories  Equivariant homology and cohomology
 Algebraic topology  Homotopy groups  Whitehead products and generalizations
 Algebraic varieties
 Algebraic varieties
 Commutative algebra  Arithmetic rings and other special rings  StanleyReisner face rings; simplicial complexes
 Convex and discrete geometry  Polytopes and polyhedra  Combinatorial properties (number of faces, shortest paths, etc.)
 Geometry, Algebraic
 Geometry, Algebraic
 Manifolds and cell complexes  Differential topology  Equivariant algebraic topology of manifolds
 Manifolds and cell complexes  Differential topology  Equivariant cobordism
 Several complex variables and analytic spaces  Complex manifolds  Topological aspects of complex manifolds
 Toric varieties
 Toric varieties
 Algebraic geometry  Special varieties  Toric varieties, Newton polyhedra
 Algebraic topology
 Algebraic topology
 Language
 eng
 Summary
 "This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are momentangle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of momentangle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on momentangle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and nonKaehler complex geometry. A related categorical construction of momentangle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area"Back cover
 Cataloging source
 DLC
 Dewey number
 516.3/5
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA613.2
 LC item number
 .B82 2015
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Mathematical surveys and monographs
 Series volume
 volume 204
Context
Context of Toric topologyWork of
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