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Analytical And Geometrical Features Of De Rham And Dolbeault'S Cohomologies

In: European Women In Mathematics

Author

Listed:
  • CHIARA DE FABRITIIS

    (Dipartimento di Matematica “V. Volterra”, Università di Ancona, via Brecce Bianche 60131 Ancona, Italy)

Abstract

These 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.

Suggested Citation

  • Chiara De Fabritiis, 2003. "Analytical And Geometrical Features Of De Rham And Dolbeault'S Cohomologies," World Scientific Book Chapters, in: Emilia Mezzetti & Sylvie Paycha (ed.), European Women In Mathematics, chapter 6, pages 101-126, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812704276_0006
    as

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