Geometry Topology

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By Izu Vaisman

This monograph explores the cohomological conception of manifolds with numerous sheaves and its software to differential geometry. in line with lectures given by means of writer Izu Vaisman at Romania's collage of Iasi, the therapy is appropriate for complex undergraduates and graduate scholars of arithmetic in addition to mathematical researchers in differential geometry, worldwide research, and topology.
A self-contained improvement of cohomological conception constitutes the vital a part of the publication. subject matters contain different types and functors, the Čech cohomology with coefficients in sheaves, the speculation of fiber bundles, and differentiable, foliated, and complicated analytic manifolds. the ultimate bankruptcy covers the theorems of de Rham and Dolbeault-Serre and examines the concept of Allendoerfer and Eells, with functions of those theorems to attribute sessions and the final thought of harmonic forms.

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