What is the Jacobian of a Riemann surface with boundary?

dc.creatorFiore, Thomas M.
dc.creatorKriz, Igor
dc.date2006-10-15
dc.date2008-06-17
dc.date.accessioned2026-07-07T09:44:53Z
dc.date.available2026-07-07T09:44:53Z
dc.descriptionWe define the Jacobian of a Riemann surface with analytically parametrized boundary components. These Jacobians belong to a moduli space of ``open abelian varieties'' which satisfies gluing axioms similar to those of Riemann surfaces, and therefore allows a notion of ``conformal field theory'' to be defined on this space. We further prove that chiral conformal field theories corresponding to even lattices factor through this moduli space of open abelian varieties.
dc.description27 pages. Minor explanation and motivation added.
dc.identifierhttps://arxiv.org/abs/math/0610463
dc.identifierhttp://arxiv.org/abs/math/0610463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163027
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject14H40, 81T40 (Primary); 18C10, 32G15 (Secondary)
dc.titleWhat is the Jacobian of a Riemann surface with boundary?
dc.typetext

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