@article{9f85ec455cd54134b689579febdc7fd4,
title = "Topology of closed 1-forms and their critical points",
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.",
keywords = "58Exx, Closed 1-forms, Lusternik-Schnirelman theory, Massey products, Morse theory",
author = "Michael Farber",
note = "Funding Information: The research was supported by a grant from the Israel Academy of Sciences and Humanities and by the Herman Minkowski Center for Geometry. ",
year = "2001",
month = mar,
doi = "10.1016/S0040-9383(99)00059-2",
language = "אנגלית",
volume = "40",
pages = "235--258",
journal = "Topology",
issn = "0040-9383",
publisher = "Elsevier Ltd.",
number = "2",
}