Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs
About this Title
S. M. Natanzon, Independent University of Moscow, Moscow, Russia. Translated by Dr Sergei Lando
Publication: Translations of Mathematical Monographs
Publication Year: 2004; Volume 225
ISBNs: 978-0-8218-3594-4 (print); 978-1-4704-4649-9 (online)
MathSciNet review: MR2075914
MSC: Primary 32G15; Secondary 14H15, 14H40, 14M30, 14P25, 32C11
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.
Graduate students and research mathematicians interested in algebraic geometry and its applications to mathematical physics.
Table of Contents
- 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