Displaying similar documents to “A remark on the action of the mapping class group on the unit tangent bundle”

Topological conjugacy of locally free 𝐑 n - 1 actions on n -manifolds

David C. Tischler, Rosamond W. Tischler (1974)

Annales de l'institut Fourier

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For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal T k bundle over T 2 with T k × R 1 orbits.

Cross ratios, surface groups, P S L ( n , 𝐑 ) and diffeomorphisms of the circle

François Labourie (2007)

Publications Mathématiques de l'IHÉS

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This article relates representations of surface groups to cross ratios. We first identify a connected component of the space of representations into PSL(,ℝ) – known as the -– to a subset of the set of cross ratios on the boundary at infinity of the group. Similarly, we study some representations into C 1 , h ( 𝕋 ) ⋊ Diff h ( 𝕋 ) associated to cross ratios and exhibit a “character variety” of these representations. We show that this character variety contains all-Hitchin components as well as the set of negatively...

The p 1 -central extension of the Mapping Class Group of orientable surfaces

Sylvain Gervais (1998)

Banach Center Publications

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Topological Quantum Field Theories are closely related to representations of Mapping Class Groups of surfaces. Considering the case of the TQFTs derived from the Kauffman bracket, we describe the central extension coming from this representation, which is just a projective extension.