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The Resource Toric topology, Victor M. Buchstaber, Taras E. Panov
Toric topology, Victor M. Buchstaber, Taras E. Panov
Resource Information
The item Toric topology, Victor M. Buchstaber, Taras E. Panov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Toric topology, Victor M. Buchstaber, Taras E. Panov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 xiii, 518 pages
 Contents

 Geometry and combinatorics of polytopes
 Combinatorial structures
 Combinatorial algebra of face rings
 Momentangle complexes
 Toric varieties and manifolds
 Geometric structures on momentangle manifolds
 Halfdimensional torus actions
 Homotopy theory of polyhedral products
 Torus actions and complex cobordism
 Appendix A. Commutative and homological algebra
 Appendix B. Algebraic topology
 Appendix C. Categorial constructions
 Appendix D. Bordism and cobordism
 Appendix E. Formal group laws and Hirzebruch genera
 Isbn
 9781470422141
 Label
 Toric topology
 Title
 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
 http://library.link/vocab/creatorName
 Buchstaber, V. M
 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
 http://library.link/vocab/relatedWorkOrContributorDate
 1975
 http://library.link/vocab/relatedWorkOrContributorName

 Panov, Taras E.
 American Mathematical Society
 Series statement
 Mathematical surveys and monographs
 Series volume
 volume 204
 http://library.link/vocab/subjectName

 Toric varieties
 Algebraic varieties
 Algebraic topology
 Geometry, Algebraic
 Commutative algebra  Arithmetic rings and other special rings  StanleyReisner face rings; simplicial complexes
 Algebraic geometry  Special varieties  Toric varieties, Newton polyhedra
 Several complex variables and analytic spaces  Complex manifolds  Topological aspects of complex manifolds
 Convex and discrete geometry  Polytopes and polyhedra  Combinatorial properties (number of faces, shortest paths, etc.)
 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
 Manifolds and cell complexes  Differential topology  Equivariant cobordism
 Manifolds and cell complexes  Differential topology  Equivariant algebraic topology of manifolds
 Algebraic topology
 Algebraic varieties
 Geometry, Algebraic
 Toric varieties
 Label
 Toric topology, Victor M. Buchstaber, Taras E. Panov
 Bibliography note
 Includes bibliographical references (pages 495509) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Geometry and combinatorics of polytopes  Combinatorial structures  Combinatorial algebra of face rings  Momentangle complexes  Toric varieties and manifolds  Geometric structures on momentangle manifolds  Halfdimensional torus actions  Homotopy theory of polyhedral products  Torus actions and complex cobordism  Appendix A. Commutative and homological algebra  Appendix B. Algebraic topology  Appendix C. Categorial constructions  Appendix D. Bordism and cobordism  Appendix E. Formal group laws and Hirzebruch genera
 Dimensions
 27 cm.
 Extent
 xiii, 518 pages
 Isbn
 9781470422141
 Lccn
 2015006771
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number

 (OCoLC)904011926
 (OCoLC)ocn904011926
 Label
 Toric topology, Victor M. Buchstaber, Taras E. Panov
 Bibliography note
 Includes bibliographical references (pages 495509) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Geometry and combinatorics of polytopes  Combinatorial structures  Combinatorial algebra of face rings  Momentangle complexes  Toric varieties and manifolds  Geometric structures on momentangle manifolds  Halfdimensional torus actions  Homotopy theory of polyhedral products  Torus actions and complex cobordism  Appendix A. Commutative and homological algebra  Appendix B. Algebraic topology  Appendix C. Categorial constructions  Appendix D. Bordism and cobordism  Appendix E. Formal group laws and Hirzebruch genera
 Dimensions
 27 cm.
 Extent
 xiii, 518 pages
 Isbn
 9781470422141
 Lccn
 2015006771
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number

 (OCoLC)904011926
 (OCoLC)ocn904011926
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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/TorictopologyVictorM.BuchstaberTarasE./6zC1iN1obKM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/TorictopologyVictorM.BuchstaberTarasE./6zC1iN1obKM/">Toric topology, Victor M. Buchstaber, Taras E. Panov</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>