Homología de Morse en variedades compactas
arango, Carlos Alberto Marín
Original · EN
Given a compact Riemannian manifold (M g) and Morse function f:m→ R whose gradient flow satisfies the Morse-Smale condition, (i.e. the stable and unstable manifolds of f intersect transversely) we construct a chain complex called the Morse-Witten Complex. Our goal on this paper is show that the homology of the Morse-Witten complex is isomorphic to the singular homology of M.
English translation
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