The space of all Riemann surfaces (the so-called moduli space) plays an important role in algebraic geometry and its applications to quantum field theory. The present book is devoted to the study of topological properties of this space and of similar moduli spaces, such as the space of real algebraic curves, the space of mappings, and also superanalogs of all these spaces.

The book can be used by researchers and graduate students working in algebraic geometry, topology, and mathematical physics.

Readership

Graduate students and research mathematicians interested in algebraic geometry and its applications to mathematical physics.

Reviews

"This monograph presents a detailed and mainly self-contained exposition ... may serve as a source for special courses on the subject."

-- Zentralblatt MATH

Table of Contents

• Introduction
• Moduli of Riemann surfaces, Hurwitz type spaces and their superanalogs
• Moduli of real algebraic curves and their superanalogs. Differentials, spinors, and Jacobians of real curves
• Spaces of meromorphic functions on complex and real algebraic curves
• Bibliography
• Index