J. Previte

activity

19992024

most citedExceptional Discrete Mapping Class Group Orbits in Moduli Spaces

8 citations · 12 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2024

On the number of minimal forts of a graph

Paul Becker, Thomas R. Cameron, Derek Hanely +2

In 2018, a fort of a graph was introduced as a non-empty subset of vertices in which no vertex outside of the set has exactly one neighbor in the set. Since then, forts have been u…

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★ 8 cited

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★ 4 cited

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}_…