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For complaints, use another form. Study lib. Upload document Create flashcards. Documents Last activity. Flashcards Last activity. Add to Add to collection s Add to saved. It will have a quite concrete character and will discuss examples which emerge in other fields of mathematics as well. Prologue Multilinear algebra. Topological and differentiable manifolds review. Differential forms.

Tensor analysis. Frobenius' theorem. Lie groups. Homogeneous spaces. Riemannian and symplectic manifolds. Elements of homological algebra. Integration on manifolds and Stokes' theorem. The Mayer-Vietoris sequence. Degree theory and applications: the GaussBonnet theorem and the Gauss linking number. Singular homology and cohomology. The de Rham theorem. The Thom and Euler classes. The Euler-Poincare' theorem.

Hodge theory. Kaehler manifolds. Abelian differentials on Riemann surfaces and the Abel map. Principal bundles, vector bundles. Connections and their curvature. Characteristic classes a' la Chern-Weil. Important example: The Weil-Kostant theorem for complex line bundles. Elliptic complexes. Dirac operators and introduction to the Atiyah-Singer theorem. BOTT - L. CHEN - K. MIR, Moscou, Springer-Verlag, Bollati-Boringhieri, Torino, Related documents. Mattia Talpo: Curriculum Vitae.

Dan Abramovich - Brown University. Universal inequalities for eigenvalues of elliptic operators in divergence noncompact Riemannian manifolds. Born in Rome in , Lucia Ronchetti studied Composition and. K-manifolds locally described by Sasaki manifolds. Mathematical Logic. Electronic Journal of Differential Equations, Vol. ISSN: URL: or. Organization of Conferences, Workshops, Symposia, Colloquia. Einstein metrics and smooth structures.

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7. From Topology to Quasi-Topology. The Complexity of the Notional Domain

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ISBN 13: 9788808094209



Introducción a la topología diferencial


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