4 citations · 9 across the 12 of their papers we have counts for
4 papers · 1 filter
Hyperbolic Groups and Non-Compact Real Algebraic Curves
Sergey Natanzon, Anna Pratoussevitch
In this paper we study the spaces of non-compact real algebraic curves, i.e. pairs , where is a compact Riemann surface with a finite number of holes and punctures and $…
Moduli Spaces of Higher Spin Klein Surfaces
Sergey Natanzon, Anna Pratoussevitch
We study the connected components of the space of higher spin bundles on hyperbolic Klein surfaces. A Klein surface is a generalisation of a Riemann surface to the case of non-orie…
Higher Spin Klein Surfaces
Sergey Natanzon, Anna Pratoussevitch
We find all m-spin structures on Klein surfaces of genus larger than one. An m-spin structure on a Riemann surface P is a complex line bundle on P whose m-th tensor power is the co…
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…