Moduli spaces of framed flags of sheaves on the projective plane

Abstract

We study the moduli space of framed flags of sheaves on the projective plane via an adaptation of the ADHM construction of framed sheaves. In particular, we prove that, for certain values of the topological invariants, the moduli space of framed flags of sheaves is an irreducible, nonsingular variety carrying a holomorphic pre-symplectic form.

40 pages

References in corpus (2)

• Parabolic refined invariants and Macdonald polynomials
• Nested Punctual Hilbert Schemes and Commuting Varieties of Parabolic Subalgebras

Cited by in corpus (4)

• Rational singularities of nested Hilbert schemes
• Flags of sheaves, quivers and symmetric polynomials
• Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane
• Holomorphic pre-symplectic form on the nested Hilbert scheme $\mbox{Hilb}^{3,4}(\mathbb{C}^2)$