MARC details
000 -LEADER |
fixed length control field |
03021cam a2200289 i 4500 |
001 - CONTROL NUMBER |
control field |
136739 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
ISI Library, Kolkata |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20160407155237.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
150219s2015 riu b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470422141 (alk. paper) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ISI Library |
Language of cataloging |
eng |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510MS |
Edition number |
23 |
Item number |
Am512 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Buchstaber, Victor M. |
245 10 - TITLE STATEMENT |
Title |
Toric topology / |
Statement of responsibility, etc |
Victor M. Buchstaber and Taras E. Panov. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Providence : |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2015. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 518 p. : |
Other physical details |
illustrations ; |
Dimensions |
27 cm. |
490 0# - SERIES STATEMENT |
Series statement |
Mathematical surveys and monographs ; |
Volume number/sequential designation |
v 204. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1. Geometry and combinatorics of polytopes --<br/>2. Combinatorial structures --<br/>3. Combinatorial algebra of face rings --<br/>4. Moment-angle complexes --<br/>5. Toric varieties and manifolds --<br/>6. Geometric structures on moment-angle manifolds --<br/>7. Half-dimensional torus actions --<br/>8. Homotopy theory of polyhedral products --<br/>9. Torus actions and complex cobordism --<br/>Appendix A. Commutative and homological algebra --<br/>Appendix B. Algebraic topology --<br/>Appendix C. Categorial constructions --<br/>Appendix D. Bordism and cobordism --<br/>Appendix E. Formal group laws and Hirzebruch genera --<br/>Bibliography --<br/>Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
"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 moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Toric varieties. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic varieties. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic topology. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic Geometry. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Panov, Taras E., |
Relator term |
author |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |