01110nas a2200121   4500008004100000245006200041210006200103260001000165520067200175653001800847100003000865856009300895       2016                        en  d00aFrames symplectic sheaves on surfaces and their ADHM data0 aFrames symplectic sheaves on surfaces and their ADHM data  bSISSA3 aThis 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.10amoduli spaces1 aScalise, Jacopo, Vittorio  uhttps://math.sissa.it/publication/frames-symplectic-sheaves-surfaces-and-their-adhm-data