Home>Mathematics>Thesis

Affine automorphism groups of surfaces of infinite type.

Thesis information

*Author:   Chamanara, Reza.;
*Advisor(s):   Keen, Linda
*Degree:   Ph.D.
*School:   City University of New York.
*Year:   2002

Full Abstract


In this dissertation, examples of flat surfaces with infinite genus and finite area are constructed. It is shown that the automorphism groups of these surfaces are non-elementary Fuchsian groups of the second kind. In certain cases the automorphism group is infinitely generated. This gives an explicit construction of Teichmüller disks in the Teichmüller space of a surface of infinite genus X, stabilized by large sub-groups of the mapping class group of X.  
Free Downloads

*Previous：On a variance arising in the Gauss circle problem.
*Next：A comparative analysis of methods for sampling stationary stochastic p