Mathematics

A symplectic sheaf on a scheme is a torsion free sheaf endowed with an almost everywhere non-degenerate antisymmetric form. In this talk, we will construct a fine moduli space for framed symplectic sheaves on a surface S  (i.e. symplectic sheaves with a trivialization on a fixed divisor D of S). We will describe in detail the case of the projective plane; here, the moduli space is irreducible, admits an ADHM-type description and is strongly related with the moduli space of point-like SP-instantons on the four sphere.