TY - THES T1 - Frames symplectic sheaves on surfaces and their ADHM data Y1 - 2016 A1 - Jacopo Vittorio Scalise KW - moduli spaces AB - 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. PB - SISSA U1 - 35517 U2 - Mathematics U4 - 1 U5 - MAT/03 ER -