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A Lower Bound for the Number of Group Actions on a Compact Riemann Surface
Riemann surface automorphism signature mapping class group
2011/9/14
Abstract: We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus $\sigma \geq 2$ is at least quadratic in $\sigma$. We do this through the introduction of a co...
Sharp asymptotics for Toeplitz determinants, fluctuations and the gaussian free field on a Riemann surface
Sharp asymptotics fluctuations the gaussian free Riemann surface
2011/7/26
Abstract: We consider canonical determinantal point processes with N particles on a compact Riemann surface X defined with respect to the constant curvature metric and show that in the large N-limit t...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
The ground state energy of a charged particle on a Riemann surface
ground state energy charged particle Riemann surface
2011/3/3
It is shown that the quantum ground state energy of particle of mass m and elec-tric charge e moving on a compact Riemann surface under the influence of a constant magnetic field of strength B is E0 =...
Parahoric bundles on a compact Riemann surface
Stable vector bundles parahoric groups parabolic bundles
2010/12/8
Let Y be a smooth projective curve (defined over the ground field C) with an action of a finite group . Let X be the smooth projective curve Y/ and let p : Y → X be the quotient mo...