Formal solution of the master equation via HPT and deformation theory

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dc.creatorHuebschmann, Johannes
dc.creatorStasheff, Jim
dc.date1999-06-06
dc.date2002-02-21
dc.date.accessioned2026-07-07T05:29:23Z
dc.date.available2026-07-07T05:29:23Z
dc.descriptionWe 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.
dc.descriptionAMSTeX 2.1, 21 pages
dc.identifierhttps://arxiv.org/abs/math/9906036
dc.identifierhttp://arxiv.org/abs/math/9906036
dc.identifierForum Mathematicum 14 (2002), 847-868
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78619
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subjectDifferential Geometry
dc.subject13D10 14B12 14J32 16W30 16S80 17B55 17B56 17B65 17B66 17B70 17B81 18G10 32G05 55P62 55R15 81T7
dc.titleFormal solution of the master equation via HPT and deformation theory
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