Heat kernel asymptotics for Laplace type operators and matrix KdV hierarchy

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dc.creatorPolterovich, Iosif
dc.date2000-10-05
dc.date.accessioned2026-07-07T04:37:52Z
dc.date.available2026-07-07T04:37:52Z
dc.descriptionWe study the heat kernel asymptotics for the Laplace type differential operators on vector bundles over Riemannian manifolds. In particular this includes the case of the Laplacians acting on differential p-forms. We extend our results obtained earlier for the scalar Laplacian and present closed formulas for all heat invariants associated with these operators. As another application, we present new explicit formulas for the matrix Korteweg-de Vries hierarchy.
dc.descriptionPreliminary version; 9 pages
dc.identifierhttps://arxiv.org/abs/math/0010057
dc.identifierhttp://arxiv.org/abs/math/0010057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60064
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58G25
dc.titleHeat kernel asymptotics for Laplace type operators and matrix KdV hierarchy
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