Characteristic classes of the Hilbert schemes of points on non-compact simply-connected surfaces

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dc.creatorNieper-Wisskirchen, Marc
dc.date2007-07-22
dc.date.accessioned2026-07-07T08:19:38Z
dc.date.available2026-07-07T08:19:38Z
dc.descriptionWe prove a closed formula expressing any multiplicative characteristic class evaluated on the tangent bundle of the Hilbert schemes of points on a non-compact simply-connected surface. As a corollary, we deduce a closed formula for the Chern character of the tangent bundles of these Hilbert schemes. We also give a closed formula for the multiplicative characteristic classes of the tautological bundles associated to a line bundle on the surface. We finally remark which implications the results here have for the Hilbert schemes of points of an arbitrary surface.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0707.3268
dc.identifierhttp://arxiv.org/abs/0707.3268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134832
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14M99
dc.titleCharacteristic classes of the Hilbert schemes of points on non-compact simply-connected surfaces
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