Tau-function on Hurwitz spaces

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dc.creatorKokotov, A.
dc.creatorKorotkin, D.
dc.date2002-02-25
dc.date2003-02-10
dc.date.accessioned2026-07-07T04:29:00Z
dc.date.available2026-07-07T04:29:00Z
dc.descriptionWe construct a flat holomorphic line bundle over a connected component of the Hurwitz space of branched coverings of the Riemann sphere. A flat holomorphic connection defining the bundle is described in terms of the invariant Wirtinger projective connection on the branched covering corresponding to a given meromorphic function on a Riemann surface. In genera 0 and 1 we construct a nowhere vanishing holomorphic horizontal section of this bundle (the ``Wirtinger tau-function''). In higher genus we compute the modulus square of the Wirtinger tau-function.
dc.descriptionSubstantial expansion; higher genus case is added
dc.identifierhttps://arxiv.org/abs/math-ph/0202034
dc.identifierhttp://arxiv.org/abs/math-ph/0202034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57002
dc.subjectMathematical Physics
dc.subject32G99
dc.titleTau-function on Hurwitz spaces
dc.typetext

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