Formal solution of the master equation via HPT and deformation theory

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We construct a solution of the master equation by means of standard tools from homological perturbation theory under just the hypothesis that the ground field be of characteristic zero, thereby avoiding the formality assumption of the relevant Lie algebra. To this end we endow the homology H(g) of any differential graded Lie algebra g with an sh-Lie structure such that g and H(g) are sh-equivalent. We discuss our solution of the master equation in the context of deformation theory. Given the extra structure appropriate to the extended moduli space of complex structures on a Calabi-Yau manifold, the known solutions result as a special case.
AMSTeX 2.1, 21 pages

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Algebraic Geometry, Mathematical Physics, Commutative Algebra, Algebraic Topology, Category Theory, Differential Geometry, 13D10 14B12 14J32 16W30 16S80 17B55 17B56 17B65 17B66 17B70 17B81 18G10 32G05 55P62 55R15 81T7

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http://salesiana.dossiersoluciones.com/handle/123456789/78619

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906036
 http://arxiv.org/abs/math/9906036
 Forum Mathematicum 14 (2002), 847-868

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arXiv