Topology, Geometry, and Dynamics
Anatoly M. Vershik, Victor M. Buchstaber, Andrey V. Malyutin
Häftad, 2022
1 453 kr
Toric Topology
AvVictor M. Buchstaber,Taras E. Panov
Inbunden, Engelska, 2015
Del i serien Mathematical Surveys and Monographs
1 537 kr
Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.
Beskrivning
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.
Produktinformation
Utforska kategorier
Mer om författaren
Innehållsförteckning
Hoppa över listan
Mer från samma författare
Del 273
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
Inbunden, 2018
1 105 kr
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Alexander V. Mikhailov, Sotiris Konstantinou-Rizos, Victor M. Buchstaber
E-bok
20181 413 kr
Hoppa över listan
Mer från samma serie
Fine Regularity of Solutions of Elliptic Partial Differential Equations
American Mathematical Society
Inbunden, 1997
1 537 kr
Cogroups and Co-rings in Categories of Associative Rings
American Mathematical Society
Inbunden, 1996
1 537 kr
Hoppa över listan
Du kanske också är intresserad av
- Nyhet
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Alexander V. Mikhailov, Sotiris Konstantinou-Rizos, Victor M. Buchstaber
E-bok
20181 413 kr
Del 273
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
Inbunden, 2018
1 105 kr
Topology, Geometry, and Dynamics
Anatoly M. Vershik, Victor M. Buchstaber, Andrey V. Malyutin
Häftad, 2022
1 453 kr
- Signerad!
Del 3
- Nyhet
Del 11
- Nyhet
- Nyhet
- -19%