£103.02

Toric Topology (Mathematical Surveys and Monographs)

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£103.02 £62.30 £71.18 £80.07 £88.95 £97.84 £106.72 09 June 2024 31 October 2024 24 March 2025 15 August 2025 07 January 2026

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337 days 82 days 158 days 1 day · current 0 84 169 253 337 £66-73 £81-88 £88-96 £96-103 Days at Price

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Most common range: £66-73 (337 days, 58.3%)

Price range: £66 - £103

Price levels: 4 price ranges over 578 days

Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 July 2015
Listed Since
21 May 2015

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