Moduli of Riemann Surfaces, Transcendental Aspects

Abstract

This is an informal set of lecture notes on moduli spaces of curves based on a set of lectures given at the ICTP last summer. It begins at an elementary level and discusses the genus 1 case in detail. The notes then give an informal treatement of Teichmuller space and higher genus moduli spaces. The point of view is generally topological and analytical.

Latex file; 54 pages, 15 figures. To be published in the ICTP Lecture Notes Series

Cited by in corpus (10)

• The Picard group of the moduli space of curves with level structures
• Lectures on Moduli Spaces of Elliptic Curves
• Conformal field theory, boundary conditions and applications to string theory
• On surfaces of general type with p_g=q=1 isogenous to a product of curves
• The anomaly line bundle of the self-dual field theory
• The Picard group of the moduli space of r-Spin Riemann surfaces
• The Noether-Lefschetz conjecture and generalizations
• Derivatives of Eisenstein series and Faltings heights
• Hodge cycles on some moduli spaces
• Genus 2 mapping class groups are not Kahler