J. Previte

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19992003

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4 papers · 1 filter

math.DS2003

Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy

Joseph P. Previte, Eugene Z. Xia

Let $M$ be a four-holed sphere and $Γ$ the mapping class group of $M$ fixing the boundary $\partial M$ . The group $Γ$ acts on $M_{B} (S L (2, C)) = H o m_{B}^{+} (p i_{1} (M), S L (2, C)) / S L (2, C)$ whic…

math.DS2001

Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces

Joseph P. Previte, Eugene Z. Xia

Let $M$ be a four-holed sphere and $Γ$ the mapping class group of $M$ fixing $\partial M$ . The group $Γ$ acts on the space $M_{B} (S U (2))$ of SU(2)-gauge equival…

math.DS1999

Topological Dynamics on Moduli Spaces, I

Joseph P. Previte, Eugene Z. Xia

Let M be a one-holed torus with boundary $\partial M$ (a circle) and $Γ$ the mapping class group of M fixing $\partial M$ . The group $Γ$ acts on $M_{C} (S U (2))$ …

math.DS1999

Topological Dynamics on Moduli Spaces II

Joseph P. Previte, Eugene Z. Xia

Let M be a Riemann surface with boundary $\partial M$ and genus greater than zero. Let $Γ$ be the mapping class group of M fixing $\partial M$ . The group $Γ$ acts on ${\mathcal M}_…