Supermanifolds

An updated and expanded second edition, this book presents a detailed exposition of the modern theory of supermanifolds, including an account of the superanalogues of all the basic structures of ordinary manifold theory.

Klappentext
The sixth and final chapter, which is new in this revised edition, examines dynamical systems for which the topology of the configuration supermanifold is important. A concise but complete account is given of the pathintegral derivation of the Chern--Gauss--Bonnet formula for the Euler--Poincare characteristic of an ordinary manifold, which is based on a simple extension of a point particle moving freely in this manifold to a supersymmetric dynamical system moving in an associated supermanifold. Many exercises are included to complement the text.

Zusammenfassung
An updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. Many exercises are included to complement the text.

Inhalt
Preface to the first edition; Preface to the second editin; 1. Analysis over supernumbers; 2. Supermanifolds; 3. Super Lie groups: general theory; 4. Super Lie groups: examples; 5. Selected applications of supermanifold theory; 6. Applications involving topology; References; Index.

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