# Second cohomology classes of the group of ${C}^{1}$-flat diffeomorphisms

Tomohiko Ishida^{[1]}

- [1] The University of Tokyo Graduate School of Mathematical Sciences Komaba, Meguro-ku ,Tokyo 153-8914 (Japan)

Annales de l’institut Fourier (2012)

- Volume: 62, Issue: 1, page 77-85
- ISSN: 0373-0956

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topIshida, Tomohiko. "Second cohomology classes of the group of $C^1$-flat diffeomorphisms." Annales de l’institut Fourier 62.1 (2012): 77-85. <http://eudml.org/doc/251083>.

@article{Ishida2012,

abstract = {We study the cohomology of the group consisting of all $C^\infty $-diffeomorphisms of the line, which are $C^1$-flat to the identity at the origin. We construct non-trivial two second real cohomology classes and uncountably many second integral homology classes of this group.},

affiliation = {The University of Tokyo Graduate School of Mathematical Sciences Komaba, Meguro-ku ,Tokyo 153-8914 (Japan)},

author = {Ishida, Tomohiko},

journal = {Annales de l’institut Fourier},

keywords = {cohomology of diffeomorphism groups; flat diffeomorphism; Massey product; flat diffeomorphisms; Massey products},

language = {eng},

number = {1},

pages = {77-85},

publisher = {Association des Annales de l’institut Fourier},

title = {Second cohomology classes of the group of $C^1$-flat diffeomorphisms},

url = {http://eudml.org/doc/251083},

volume = {62},

year = {2012},

}

TY - JOUR

AU - Ishida, Tomohiko

TI - Second cohomology classes of the group of $C^1$-flat diffeomorphisms

JO - Annales de l’institut Fourier

PY - 2012

PB - Association des Annales de l’institut Fourier

VL - 62

IS - 1

SP - 77

EP - 85

AB - We study the cohomology of the group consisting of all $C^\infty $-diffeomorphisms of the line, which are $C^1$-flat to the identity at the origin. We construct non-trivial two second real cohomology classes and uncountably many second integral homology classes of this group.

LA - eng

KW - cohomology of diffeomorphism groups; flat diffeomorphism; Massey product; flat diffeomorphisms; Massey products

UR - http://eudml.org/doc/251083

ER -

## References

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