Topology of Closed One-Forms

Michael Färber

Type: Book

Publication Date: 2004-02-10

Citations: 150

DOI: https://doi.org/10.1090/surv/108

Abstract

The Novikov numbers The Novikov inequalities The universal complex Construction of the universal complex Bott-type inequalities Inequalities with von Neumann Betti numbers Equivariant theory Exactness of the Novikov inequalities Morse theory of harmonic forms Lusternik-Schnirelman theory, closed 1-forms, and dynamics Appendix A. Manifolds with corners Appendix B. Morse-Bott functions on manifolds with corners Appendix C. Morse-Bott inequalities Appendix D. Relative Morse theory Bibliography Index.

Locations

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