3 papers
math.SG2026
Lusternik-Schnirelmann category of Lee Forms on locally conformally symplectic manifolds
Kenji Fukushi
The Lusternik--Schnirelmann category of a closed symplectic manifold admits various estimates. Locally conformally symplectic (LCS) geometry is a generalization of symplectic geome…
math.AT2026
Topological complexity for closed 1-forms
Kenji Fukushi
Michael Farber introduced a generalization of the Lusternik--Schnirelmann category for closed 1-forms. In this paper, we introduce and study a corresponding version of topological…
math.DG2023
An extension of Lusternik-Schnirelmann category of closed 1-form to non compact manifolds
Fukushi Kenji
Michael Farber introduced the Lusternik-Schnirelmann category cat for the pair of finite CW complex and first-order cohomology . It is inspired by the Morse-Novikov t…