Toric Topology

Toric Topology

Details Book

  • Autor: Victor M. Buchstaber
  • Editor: American Mathematical Society
  • Relaese Date: 30 August 2015
  • ISBN: 147042214X
  • Format Book: PDF, Epub, DOCx, TXT
  • Number of page: 523 pages
  • File Size: 48MB
  • Rating:


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Description Toric Topology de Victor M. Buchstaber:

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. Victor M. Buchstaber , Steklov Mathematical Institute, Moscow, Russia. Taras E. Panov , Institute of Theoretical and Experimental Physics, Moscow, Russia.

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Comments

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I do not have enough good things to say about this book. It was fanstastique!

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Thank you very much !! !!

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This is probably one of the best books I have read.