A COMPLETE PROOF OF THE POINCARE AND´ …

dimensional manifolds has been one of the most important and challenging topics in modern mathematics. In 1977, W. Thurston [122], based on ideas about Riemann sur-faces, Haken’s work and Mostow’s rigidity theorem, etc, formulated a geometrization conjecture for three-manifolds which, roughly speaking, states that every compact ori-

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Lectures on Symplectic Geometry - ETH Z

people.math.ethz.ch

Introduction The goal of these notes is to provide a fast introduction to symplectic geometry. A symplectic form is a closed nondegenerate 2-form. A symplectic manifold is a manifold equipped with a symplectic form. Symplectic geometry is the geometry of symplectic manifolds. Symplectic manifolds are necessarily even-dimensional and

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A List of Recommended Books in Topology - Cornell …

pi.math.cornell.edu

3-Manifolds. For 3-manifold theory there are several books: • W Thurston. Three-Dimensional Geometry and Topology. Princeton University Press, 1997. [$55] — A geometric introduction by the master. Also useful for the geometry of surfaces. • A Hatcher. Basic Topology of 3-Manifolds. Unpublished notes available online at

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