Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula

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dc.creatorKokotov, A.
dc.creatorKorotkin, D.
dc.date2004-05-04
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:25Z
dc.date.available2026-07-07T09:52:25Z
dc.descriptionLet $w$ be an Abelian differential on compact Riemann surface of genus $g\geq 1$. We obtain an explicit holomorphic factorization formula for $ζ$-regularized determinant of the Laplacian in flat conical metrics with trivial holonomy $|w|^2$, generalizing the classical Ray-Singer result in $g=1$.
dc.description53 pages; the paper in present form is essentally self-contained; the proofs are improved
dc.identifierhttps://arxiv.org/abs/math/0405042
dc.identifierhttp://arxiv.org/abs/math/0405042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165591
dc.subjectSpectral Theory
dc.titleTau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula
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