Lectures on Klein Surfaces and Their Fundamental Group
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These notes are based on a series of three 1-hour lectures given in 2012 at the CRM in Barcelona, as part of the event Master Class and Workshop on Representations of Surface Groups, itself a part of the research program Geometry and Quantization of Moduli Spaces. The goal of the lectures was to give an introduction to the general theory of Klein surfaces, particularly the appropriate notion of fundamental groups for such surfaces, emphasizing throughout the analogy with a more algebraic perspective on fundamental groups in real algebraic geometry.
KeywordsRiemann Surface Fundamental Group Homotopy Class Semidirect Product Left Action
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