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ACTION OF THE JOHNSON-TORELLI GROUP ON REPRESENTATION VARIETIES
JOHNSON-TORELLI mapping class group
2015/9/29
Let Σ be a compact orientable surface with genus g and n boundary components B = (B1,...,Bn). Let c = (c1,...,cn) ∈ [−2,2]n. Then the
mapping class group MCG of Σ acts on the relative SU(2)-cha...
ERGODICITY OF MAPPING CLASS GROUP ACTIONS ON SU(2)-CHARACTER VAR IET IES
GROUP ACTIONS MAPPING CLASS
2015/9/29
Let be a compact orientable surface with genus g andnboundary components
∂1,..., ∂n. Let b = (b1,...,bn) ∈ [−2,2]
n. Then the mapping class group
Mod() acts on the relative SU(2)-...
THE MAPPING CLASS GROUP ACTS REDUCIBLY ON SU(n)-CHARACTER VARIETIES
CLASS GROUP ACTS REDUCIBLY VARIETIES
2015/9/29
When G is a connected compact Lie group, and π
is a closed surface group, then Hom(π, G)/G contains an open
dense Out(π)-invariant subset which is a smooth symplectic manifold.
Bounding reflection length in an affine Coxeter group
reflection length affine Coxeter group
2010/12/13
In any Coxeter group, the conjugates of elements in
the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called it...
tion of Non Abelian Group Generated by Affine Homotheties on R^n
Homothety orbit density minimal non abelian action
2010/12/14
In this paper, we study the action of non abelian group G generated by affine homotheties on Rn. We prove that G satisfies one of the following properties: (i) there exist a subgroup G of R∗ co...