Laplacians in Odd Symplectic Geometry

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dc.creatorKhudaverdian, Hovhannes M.
dc.date2002-12-27
dc.date.accessioned2026-07-07T04:54:05Z
dc.date.available2026-07-07T04:54:05Z
dc.descriptionWe consider odd Laplace operators arising in odd symplectic geometry. Approach based on semidensities (densities of weight 1/2) is developed. The role of semidensities in the Batalin--Vilkovisky formalism is explained. In particular, we study the relations between semidensities on an odd symplectic supermanifold and differential forms on a purely even Lagrangian submanifold. We establish a criterion of ``normality'' of a volume form on an odd symplectic supermanifold in terms of the canonical odd Laplacian acting on semidensities.
dc.descriptionLaTeX2e, 19 pages
dc.identifierhttps://arxiv.org/abs/math/0212354
dc.identifierhttp://arxiv.org/abs/math/0212354
dc.identifierContemp.Math. 315 (2002) 199-212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66107
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53D05, 58A50
dc.titleLaplacians in Odd Symplectic Geometry
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