Eugene Z. Xia

activity

19992004

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Showing 1999Show all

4 papers · 1 filter

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}_…

math.AG1999

Moduli of Vector Bundles on Curves in Positive Characteristics

Kirti Joshi, Eugene Z. Xia

Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles.…

math.AG1999

The Moduli of Flat U(p,1) Structures on Riemann Surfaces

Eugene Z. Xia

For a compact Riemann surface $X$ of genus $g > 1$ , $\Hom(π_1(X), U(p,1))/U(p,1)$ is the moduli space of flat $\U(p,1)$-connections on $X$ . There is an integer invariant, $τ$ , the…