On étudie la cohomologie du groupe des -difféomorphismes de la droite, qui sout -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 -diffeomorphisms of the line, which are -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.
Accepté le : 2011-10-15
DOI : https://doi.org/10.5802/aif.2699
Classification : 58D05, 57S05
Mots clés : semblable banalité autosimilarité logarithmique, loi de Gauß
@article{AIF_2012__62_1_77_0, author = {Ishida, Tomohiko}, title = {Second cohomology classes of the group of $C^1$-flat diffeomorphisms}, journal = {Annales de l'Institut Fourier}, pages = {77--85}, publisher = {Association des Annales de l'institut Fourier}, volume = {62}, number = {1}, year = {2012}, doi = {10.5802/aif.2699}, zbl = {1253.58007}, mrnumber = {2986265}, language = {en}, url = {aif.centre-mersenne.org/item/AIF_2012__62_1_77_0/} }
Ishida, Tomohiko. Second cohomology classes of the group of $C^1$-flat diffeomorphisms. Annales de l'Institut Fourier, Tome 62 (2012) no. 1, pp. 77-85. doi : 10.5802/aif.2699. https://aif.centre-mersenne.org/item/AIF_2012__62_1_77_0/
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