@article {doi:10.1142/S0129167X18500076, title = {Framed symplectic sheaves on surfaces}, journal = {International Journal of Mathematics}, volume = {29}, number = {01}, year = {2018}, pages = {1850007}, abstract = {

A framed symplectic sheaf on a smooth projective surface $X$ is a torsion-free sheaf $E$ together with a trivialization on a divisor $D \subset X$ and a morphism $\Lambda^2 E \rightarrow \mathcal{O}_X$ satisfying some additional conditions. We construct a moduli space for framed symplectic sheaves on a surface, and present a detailed study for $X =\mathbb{P}_\mathbb{C}^2$. In this case, the moduli space is irreducible and admits an ADHM-type description and a birational proper map onto the space of framed symplectic ideal instantons.

}, doi = {10.1142/S0129167X18500076}, url = {https://doi.org/10.1142/S0129167X18500076}, author = {Jacopo Vittorio Scalise} }