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Supermanifolds - DeWitt, Bryce
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This book presents 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. The exposition opens with the theory of analysis over supernumbers (Grassmann variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of the super-analog of Lie derivatives, connections, metrics, curvature, geodesics, Killing flows, ...

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Supermanifolds 1992, Cambridge University Press, Cambridge

ISBN-13: 9780521423779

2nd edition

Trade paperback

Supermanifolds 1986, Cambridge University Press, Cambridge

ISBN-13: 9780521311762

Trade paperback

Supermanifolds 1984, Cambridge University Press, Cambridge

ISBN-13: 9780521258500

Hardcover