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Supermanifolds (Mathematics)

  • Supermanifoldsby Bryce DeWitt

    Cambridge University Press 1992; US$ 70.00

    This is 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. The exposition opens with the theory of analysis over supernumbers (Grassman variables),... more...

  • The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operatorby J. J. Duistermaat

    Springer 2011; US$ 59.95

    Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. The book covers a variety of concepts fundamental to the study and applications of the spin-c Dirac operator, making use of the heat kernels theory of Berline, Getzlet,... more...

  • Calabi-Yau Manifoldsby T. Hubsch

    World Scientific Publishing Company 1992; US$ 156.00

    Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string models and are thus being studied vigorously in the recent physics literature.In the main part of the Book, collected and reviewed are relevant results... more...

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