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Algebraic Models in Geometry~tqw~ darksiderg

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Algebraic Models in Geometry
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Type.................: Ebook
Part Size............: 7,932,959 bytes




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Posted by............: ~tqw~

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Release Notes
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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.

Table of Contents

1. Lie Groups and Homogeneous Spaces
2. Minimal Models
3. Manifolds
4. Complex and Symplectic Manifolds
5. Geodesics
6. Curvature
7. G-Spaces
8. Blow-ups and Intersection Products
9. A Florilege of Geometric Applications
Appendices
A. De Rham Forms
B. Spectral Sequences
C. Basic Homotopy Recollections

Product Details

* ISBN: 0199206511
* ISBN-13: 9780199206513
* Format: Hardcover, 304pp
* Publisher: Oxford University Press, USA
* Pub. Date: May 2008

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