Advanced Studies in Pure Mathematics

On deformations and rigidity of the Godbillon–Vey class

Taro Asuke

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Abstract

The Godbillon–Vey class is the most significant secondary characteristic class for foliations. We will throw a glance at deformations and rigidity of the Godbillon–Vey class especially from a viewpoint of transverse structures of foliations.

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), 1-18

Dates
Received: 30 June 2014
Revised: 24 August 2014
First available in Project Euclid: 4 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538671760

Digital Object Identifier
doi:10.2969/aspm/07210001

Mathematical Reviews number (MathSciNet)
MR3726703

Zentralblatt MATH identifier
1385.57030

Subjects
Primary: 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10]
Secondary: 57R30: Foliations; geometric theory 57C12 58H15: Deformations of structures [See also 32Gxx, 58J10] 37F75: Holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx]

Keywords
Godbillon–Vey class deformations rigidity

Citation

Asuke, Taro. On deformations and rigidity of the Godbillon–Vey class. Geometry, Dynamics, and Foliations 2013: In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays, 1--18, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07210001. https://projecteuclid.org/euclid.aspm/1538671760


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