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Equivalence of Group Actions on Riemann Surfaces      Equivalence of Group  Riemann Surfaces        font style='font-size:12px;'> 2011/2/24
We produce for each natural number n  3 two 1–parameter fam-ilies of Riemann surfaces admitting automorphism groups with two cyclic sub-groups H1 and H2 of orden 2n, that are conjugate in the group o...
Riemann Surfaces and Vertex Operator Algebras     Riemann Surfaces  Vertex Operator Algebras       font style='font-size:12px;'> 2011/1/21
We show that for any fixed point P0 on a Riemann surface the distinct realizations of cocycles in H1(,O) correspond to the natural appearances of the standard Heisenberg vertex operator algebra (P0...
The purpose of this note is to resolve an apparent discrepancy between the calculations in the article [ABS] of Armentano- Beltran-Shub (henceforth ABS) and that in Qi Zhong’s article [Zh] of the as...
For each k > 0 we find an explicit function fk such that the topology of S inside the ball BS(p, r) is ‘bounded’ by fk(r) for every complete Riemannian surface (compact or noncompact) S with K  W...

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