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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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Algebraic Models in Geometry (Hardcover)
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Algebraic Models in Geometry (Hardcover)
Series: Oxford Graduate Texts in Mathematics
Expected to ship within 12 - 17 working days
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Rational homotopy is a very powerful tool for differential topology
and geometry. This text aims to provide graduates and researchers
with the tools necessary for the use of rational homotopy in
geometry. Algebraic Models in Geometry has been written for
topologists who are drawn to geometrical problems amenable to
topological methods and also for geometers who are faced with
problems requiring topological approaches and thus need a simple
and concrete introduction to rational homotopy. This is essentially
a book of applications. Geodesics, curvature, embeddings of
manifolds, blow-ups, complex and Kahler manifolds, symplectic
geometry, torus actions, configurations and arrangements are all
covered. The chapters related to these subjects act as an
introduction to the topic, a survey, and a guide to the literature.
But no matter what the particular subject is, the central theme of
the book persists; namely, there is a beautiful connection between
geometry and rational homotopy which both serves to solve geometric
problems and spur the development of topological methods.
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