3 papers
math.GT2026
On deformations of foliations and characteristic classes
Taro Asuke
We study characteristic classes for deformations of foliations. Those classes include known classes such as the Godbillon--Vey class and the Fuks--Lodder--Kotschick class. We intro…
math.DS2020
On a characteristic class associated with deformations of foliations
Taro Asuke
A characteristic class for deformations of foliations called the Fuks-Lodder-Kotschick class (FLK class for short) is studied. It seems unknown if there is a real foliation with no…
math.DS2018
On Fatou and Julia sets of foliations
Taro Asuke
The Fatou-Julia decomposition is significant in the study of iterations of holomorphic mappings. Such a decomposition can be also considered for foliations in a unified manner. Alt…