On monodromy map
On monodromy map
Let Γ be a Fuchsian group acting on the upper half-plane U and having signature {p,n,0;v1,v2,…,vn}; 2p−2+∑j=1n(1−1vj)>0.Let T(Γ) be the Teichmüller space of Γ. Then there exists a vector bundle ℬ(T(Γ)) of rank 3p−3+n over T(Γ) whose fibre over a point t∈T(Γ) representing Γt is the space of bounded quratic …