微分拓樸   (91年度 下學期)

Sard's theorem, Brouwer degree, Hopf index theorem, Chern's intrinsic proof of the Gauss-Bonnet theorem, Morse theory, Witten's complex, Floer homology, symplectic and Contact topology, Introduction to Seiberg-Witten theory.

(a) John Milnor, Topology from the differentiable viewpoint. (b) John Milnor, Morse Theory, Annals Math. Study 51. (c) Aebischer, Borer,..., Symplectic Geometry, Progress in Math., 124. (d) Salamon, Spin geometry and Seiberg-Witten invariants.

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