Splitting the Curvature of the Determinant Line Bundle

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dc.creatorScott, Simon
dc.date1998-12-21
dc.date.accessioned2026-07-07T05:27:19Z
dc.date.available2026-07-07T05:27:19Z
dc.descriptionIt is shown that the determinant line bundle associated to a family of Dirac operators over a closed partitioned manifold has a canonical Hermitian metric with compatible connection whose curvature satisfies an additivity formula with contributions from the families of Dirac operators over the two halves. This curvature form is the natural differential representative which satisifies the same splitting principle as the Chern class of the determinant line bundle.
dc.descriptionTo appear in Proc. Am. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/9812124
dc.identifierhttp://arxiv.org/abs/math/9812124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77879
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject58G20, 58G26, 11S45
dc.titleSplitting the Curvature of the Determinant Line Bundle
dc.typetext

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