1. An introduction to the subject. 1.1. The remarkable interplay. 1.2. Moduli and criticality. 1.3. Moduli and algebraic varieties. 1.4. The art of quantizing zero. 1.5. Mirror maps. 1.6. Bibliographical note -- 2. A bit of geometry and topology. 2.1. Introduction. 2.2. Fibre bu…
This book presents, in a unifying perspective, the topics related to N=2 supersymmetry in two dimensions. Beginning with the Kähler structure of D=4 supergravity Lagrangians, through the analysis of string compactifications on Calabi-Yau manifolds, one reaches the heart of the m…
Many topological problems can be solved by using either combinatorial or differential methods. The main goal of this text is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques.
"Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth…
