Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface

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dc.creatorEarl, Richard
dc.creatorKirwan, Frances
dc.date2003-05-24
dc.date.accessioned2026-07-07T04:58:15Z
dc.date.available2026-07-07T04:58:15Z
dc.descriptionThe cohomology ring of the moduli space of stable holomorphic vector bundles of rank n and degree d over a Riemann surface of genus g>1 has a standard set of generators when n and d are coprime. When n=2 the relations between these generators are well understood, and in particular a conjecture of Mumford, that a certain set of relations is a complete set, is known to be true. In this article generalisations are given of Mumford's relations to the cases when n>2 and also when the bundles are parabolic bundles, and these are shown to form complete sets of relations.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/math/0305345
dc.identifierhttp://arxiv.org/abs/math/0305345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67558
dc.subjectAlgebraic Geometry
dc.subject14H60
dc.titleComplete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface
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