Connectedness of the space of smooth actions of on the interval

Christian Bonatti 1 Hélène Eynard-Bontemps 2
1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 IMJ-PRG - Institut de Mathématiques de Jussieu - Paris Rive Gauche
Abstract : We prove that the spaces of C-infinity orientation preserving actions of Z(n) on [0, 1] and non-free actions of Z(2) on the circle are connected.
Keywords : circle diffeomorphisms Commuting diffeomorphisms Foliations
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01414874
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 12 décembre 2016 - 16:12:22
Dernière modification le : mercredi 14 décembre 2016 - 01:12:18

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INSMI | UPMC | IMB_UMR5584 | USPC

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Christian Bonatti, Hélène Eynard-Bontemps. Connectedness of the space of smooth actions of on the interval. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, 36 (07), pp.2076 - 2106. <https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitleconnectedness-of-the-space-of-smooth-actions-of-span-classinlineformulaspan-classalternativesimg-classmathjaxaltimg-data-mimesubtypegif-data-typesimple-srcstaticdomainresourceidurncambridgeorgidbinary20160914043409198-0571s0143385715000036inline1gifspan-classmathjaxtex-data-mathjax-typetexmathtexmathmathbbzntexmathspanspanspan-on-the-intervaldiv/BFF920149075FE6BE491E79EB44423E6>. <10.1017/etds.2015.3>. <hal-01414874>

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