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Algebra of Kodaira–Spencer gravity and deformation of Calabi–Yau manifold

    We study the algebraic structure of the configuration space of the Kodaira–Spencer gravity theory on a Calabi–Yau threefold. We then investigate the deformation problem of the Kodaira–Spencer gravity at the classical level using the algebraic tools obtained here.

    AMSC: 14J32, 16W55, 32G05

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    Published: 1 March 2017