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Holomorphic Dynamics: Week 3 Solutions by firdafiandra is a document available to read on EtoBox.

This document contains solutions to exercises about hyperbolic geometry and Möbius transformations. The solutions show that: 1) Möbius transformations of a certain form satisfy an inversion property and preserve limit sets of discrete groups. 2) A specific region in the hyperbolic plane is preserved by integer Möbius transformations and forms a Dirichlet domain. 3) As a result, PSL(2,Z) is generated by two generators subject to certain relations.

Author

firdafiandra

Language

EN