On the Classification of Orientation-Preserving Diffeomorphisms of a Two-Dimensional Torus

Student: Girda Marina

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Mathematics (Master)

Year of Graduation: 2024

In this work we consider the class G of gradient-like diffeomorphisms of the sphere S^2. It is known that the set G consists of two disjoint sets G^+ and G^-, where G^+ (G^-) is a set of orientation-preserving (changing) diffeomorphisms. All possible periodic data for diffeomorphisms of class G are given and examples of diffeomorphisms with all possible periodic data are constructed.

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