ANALYTICAL AND GEOMETRICAL FEATURES OF DE RHAM AND DOLBEAULT'S COHOMOLOGIES

Chiara de Fabritiis
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Chiara de Fabritiis: Dipartimento di Matematica “V. Volterra”, Università di Ancona, via Brecce Bianche 60131 Ancona, Italy

Chapter 6 in European Women in Mathematics, 2003, pp 101-126 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThese notes offer a short presentation of de Rham cohomology on differentiable manifolds with a proof of the isomorphism between de Rham cohomology and singular cohomology. We also recall some duality results, show how Betti numbers relate to Morse theory and shortly present the relation between de Rham and Čech cohomologies with coefficients in the sheaf of real locally constant functions for de Rham cohomology.

Keywords: Mathematical Finance; Geometry; Cohomology (search for similar items in EconPapers)
Date: 2003
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