Advanced Studies in Pure Mathematics

Several problems on groups of diffeomorphisms

Takashi Tsuboi

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Abstract

This is a survey on several problems related to the study of groups of diffeomorphisms.

Article information

Source
Geometry, Dynamics, and Foliations 2013: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays, T. Asuke, S. Matsumoto and Y. Mitsumatsu, eds. (Tokyo: Mathematical Society of Japan, 2017), 239-248

Dates
Received: 23 June 2014
Revised: 30 December 2014
First available in Project Euclid: 4 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538671769

Digital Object Identifier
doi:10.2969/aspm/07210239

Mathematical Reviews number (MathSciNet)
MR3726712

Zentralblatt MATH identifier
1383.57032

Subjects
Primary: 57R50: Diffeomorphisms 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10]
Secondary: 37C05: Smooth mappings and diffeomorphisms 37C85: Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.) 57R30: Foliations; geometric theory 54H15: Transformation groups and semigroups [See also 20M20, 22-XX, 57Sxx]

Keywords
diffeomorphism groups perfect groups commutator length classifying spaces foliations

Citation

Tsuboi, Takashi. Several problems on groups of diffeomorphisms. Geometry, Dynamics, and Foliations 2013: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays, 239--248, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07210239. https://projecteuclid.org/euclid.aspm/1538671769


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