Topology of closed 1-forms and their critical points

1998/11/30 by Michael Färber, Michael Farber, Farber, Michael
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.math/9811173

21 pages

arxiv created 1998/11/30 · openalex publication_date 1998/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper I suggest an alternative approach (using generic flat bundles and higher Massey products) to a Lusternik-Schnirelman type theory for closed 1-forms (cf. also math.DG/9811113)

Related

• Lusternik-Schnirelman theory for closed 1-forms
• Closed 1-form on topological spaces, and Lusternik-Schnirelman type Category
• Massey products and critical points
• Zeros of closed 1-forms, homoclinic orbits, and Lusternik - Schnirelman theory
• On the relative Lusternik-Schnirelmann category with respect to a closed 1-form