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Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces

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dc.contributor.author Bruzzo, Ugo en_US
dc.contributor.author Markushevich, Dimitri en_US
dc.contributor.author Tikhomirov, Alexander en_US
dc.date.accessioned 2010-09-08T08:00:00Z en_US
dc.date.accessioned 2011-09-07T20:19:23Z
dc.date.available 2010-09-08T08:00:00Z en_US
dc.date.available 2011-09-07T20:19:23Z
dc.date.issued 2010-09-08T08:00:00Z en_US
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/4049 en_US
dc.description.abstract We construct a compactification $M^{\mu ss}$ of the Uhlenbeck-Donaldson type for the moduli space of slope stable framed bundles. This is a kind of a moduli space of slope semistable framed sheaves. We show that there exists a projective morphism $\gamma \colon M^s \to M^{\mu ss}$, where $M^s$ is the moduli space of S-equivalence classes of Gieseker-semistable framed sheaves. The space $M^{\mu ss}$ has a natural set-theoretic stratification which allows one, via a Hitchin-Kobayashi correspondence, to compare it with the moduli spaces of framed ideal instantons. en_US
dc.format.extent 496341 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;59/2010/FM en_US
dc.relation.ispartofseries arXiv.org;1009.0856v1 en_US
dc.title Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US


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