3 papers
math.GT2026
Morse homology of nonsingular Morse-Smale foliations and its duality theorem
Shigeaki Miyoshi
We define a Morse homology of the foliation which is defined by a general nonsingular Morse-Smale flow, applying the framework of the Conley index theory. In fact, we define a chai…
math.GT2024
On a homology of foliations defined by non-singular Morse-Smale flows
Masato Akizawa, Ryosuke Furuta, Shigeaki Miyoshi
We propose a definition of a homology of a one-dimensional foliation defined by a non-singular Morse-Smale flow. We also show the calculation of the homology of such a foliation wh…
math.GT2013
Links and submersions to the plane on an open 3-manifold
Shigeaki Miyoshi
We study the realization problem which asks if a given oriented link in an open 3-manifold can be realized as a fiber of a submersion to the Euclidean plane. We correct the results…