AMS International Press, 2001

Table of Contents

1. Point particles

1.1 Point particles and path integrals
1.2 Faddeev-Popov gauge fixing and BRST symmetry
1.3 BRST quantization of the point particle

2. The Bosonic string

2.1 The classical action for strings
2.2 Sobolev spaces
2.3 Boundary regularity
2.4 Spaces of mappings and metrics
2.5 The global structure of the spaces of metrics, complex structures, and diffeomorphisms on a surface
2.6 Infinitesimal decompositions of metrics
2.7 Complex analytic aspects
2.8 Teichmüller and moduli spaces of Riemann surfaces
2.9 Determinants
2.10 The partition function for the Bosonic string
2.11 Some physical aspects