3 papers
math.AG2004
Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces
Sergey Natanzon, Anna Pratoussevitch
We prove that any connected component of the space of m-spin structures on compact Riemann surfaces with finite number of punctures and holes is homeomorphic to a quotient of the v…
math.DG2004
Traces in Complex Hyperbolic Triangle Groups
Anna Pratoussevitch
We present several formulas for the traces of elements in complex hyperbolic triangle groups generated by complex reflections. The space of such groups of fixed signature is of rea…
math.DG2003
Fundamental Domains in Lorentzian Geometry
Anna Pratoussevitch
We consider discrete subgroups Gamma of the simply connected Lie group SU~(1,1), the universal cover of SU(1,1), of finite level, i.e. the subgroup intersects the centre of SU~(1,1…