%0 Report %D 2010 %T Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces %A Ugo Bruzzo %A Dimitri Markushevich %A Alexander Tikhomirov %X 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. %G en_US %U http://hdl.handle.net/1963/4049 %1 353 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-09-08T08:00:00Z\\nNo. of bitstreams: 1\\nBruzzo59FM.pdf: 496341 bytes, checksum: 3e67e590463152505d393721e3a2c10a (MD5)