Topology of closed 1-forms and their critical points

Michael Farber*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we suggest an analog of the Lusternik-Schnirelman theory for closed 1-forms. Namely, we use cup-products and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1-form in a given cohomology class.

Original languageEnglish
Pages (from-to)235-258
Number of pages24
JournalTopology
Volume40
Issue number2
DOIs
StatePublished - Mar 2001

Funding

FundersFunder number
Israel Academy of Sciences and Humanities
Herman Minkowski Center for Geometry

    Keywords

    • 58Exx
    • Closed 1-forms
    • Lusternik-Schnirelman theory
    • Massey products
    • Morse theory

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