%0 Thesis %D 2016 %T Frames symplectic sheaves on surfaces and their ADHM data %A Jacopo Vittorio Scalise %K moduli spaces %X This dissertation is centered on the moduli space of what we call framed symplectic sheaves on a surface, compactifying the corresponding moduli space of framed principal SP−bundles. It contains the construction of the moduli space, which is carried out for every smooth projective surface X with a big and nef framing divisor, and a study of its deformation theory. We also develop an in-depth analysis of the examples X = P2 and X = Blp (P2 ), showing that the corresponding moduli spaces enjoy an ADHM-type description. In the former case, we prove irreducibility of the space and exhibit a relation with the space of framed ideal instantons on S4 in type C. %I SISSA %G en %1 35517 %2 Mathematics %4 1 %# MAT/03 %$ Submitted by jscalise@sissa.it (jscalise@sissa.it) on 2016-09-16T08:14:20Z No. of bitstreams: 1 Framed symplectic sheaves on surfaces and their ADHM data.pdf: 939059 bytes, checksum: f36f5bbc16875fdbb60776eed86a41c0 (MD5)