Frames symplectic sheaves on surfaces and their ADHM data

Title	Frames symplectic sheaves on surfaces and their ADHM data
Publication Type	Thesis
Year of Publication	2016
Authors	Scalise, JVittorio
University	SISSA
Keywords	moduli spaces
Abstract	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.
Custom 1	35517
Custom 2	Mathematics
Custom 4	1
Custom 5	MAT/03
Custom 6	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)

Research Group:

Mathematics