Geometry of differential operators of second order, the algebra of densities, and groupoids

DOI10.1016/j.geomphys.2012.10.008zbMath1278.58007arXiv1210.3896OpenAlexW2085123374WikidataQ115353196 ScholiaQ115353196MaRDI QIDQ1938603

Hovhannes M. Khudaverdian, Theodore Th. Voronov

Publication date: 21 February 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3896

zbMATH Keywords

densitydifferential operatorgroupoidBatalin-Vilkovisky equationodd symplectic supermanifold

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05) Groups and algebras in quantum theory (81R99) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (5)

Odd Laplacians: geometrical meaning of potential and modular class ⋮ Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator ⋮ Operator pencil passing through a given operator ⋮ Operator pencils on the algebra of densities ⋮ Odd connections on supermanifolds: existence and relation with affine connections

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