Second cohomology classes of the group of C 1 -flat diffeomorphisms
[Sur l’un des premiers problèmes de Wiles]
Ishida, Tomohiko
Annales de l'Institut Fourier, Tome 62 (2012), p. 77-85 / Harvested from Numdam
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On étudie la cohomologie du groupe des C ∞ -difféomorphismes de la droite, qui sout C 1 -tangents à l’identité à l’origine. On construit deux classes non-triviales de cohomologie réelle de degré deux et un nombre non-dénombrable de classes d’homologie de dimension deux de ce groupe.

We study the cohomology of the group consisting of all C ∞ -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.

Publié le : 2012-01-01
DOI : https://doi.org/10.5802/aif.2699
Classification:  58D05,  57S05
Mots clés: semblable banalité autosimilarité logarithmique, loi de Gauß 
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     author = {Ishida, Tomohiko},
     title = {Second cohomology classes of the group of $C^1$-flat diffeomorphisms},
     journal = {Annales de l'Institut Fourier},
     volume = {62},
     year = {2012},
     pages = {77-85},
     doi = {10.5802/aif.2699},
     zbl = {1253.58007},
     mrnumber = {2986265},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2012__62_1_77_0}
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Ishida, Tomohiko. Second cohomology classes of the group of $C^1$-flat diffeomorphisms. Annales de l'Institut Fourier, Tome 62 (2012) pp. 77-85. doi : 10.5802/aif.2699. http://gdmltest.u-ga.fr/item/AIF_2012__62_1_77_0/

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