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Books > Science & Mathematics > Mathematics > Topology
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Toric Topology (Hardcover)
Loot Price: R3,285
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Toric Topology (Hardcover)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
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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.
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