Holomorphic pre-symplectic form on the nested Hilbert scheme $\mbox{Hilb}^{3,4}(\mathbb{C}^2)$

Abstract

We regard the pre-hyperkähler structure on the moduli space of framed flags of sheaves $\mathcal{F}(1,3,1)$ on the projective plane ${\mathbb{P}}^2$ via an adaptation of the ADHM construction of framed sheaves. Then, we study and categorize the degenerate points of the holomorphic pre-symplectic form presented in the moduli space.

10 pages. arXiv admin note: substantial text overlap with arXiv:1607.01169

References in corpus (2)

• Parabolic refined invariants and Macdonald polynomials
• Moduli spaces of framed flags of sheaves on the projective plane