Derived autoequivalences of generalised Kummer varieties

Abstract

In this article, we construct new derived autoequivalences of generalised Kummer varieties. Together with Huybrechts-Thomas twists around ${\mathbb{P}}^n$-objects, these are the only known examples of such symmetries.

Final version. To appear in Math. Res. Lett

References in corpus (4)

• Noncommutative deformations and flops
• New derived symmetries of some hyperkähler varieties
• Integral Transforms and Deformations of K3 Surfaces
• New derived autoequivalences of Hilbert schemes and generalised Kummer varieties

Cited by in corpus (14)

• Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
• Equivalences of equivariant derived categories
• Derived categories of (nested) Hilbert schemes
• Mukai flops and P-twists
• P-functor versions of the Nakajima operators
• New derived autoequivalences of Hilbert schemes and generalised Kummer varieties
• ${\mathbb{P}}^n$-functors
• Fourier-Mukai transform of vector bundles on surfaces to Hilbert scheme
• Spherical functors on the Kummer surface
• Stable vector bundles on generalized Kummer varieties
• Universal functors on symmetric quotient stacks of Abelian varieties
• Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
• On the derived category of the Hilbert scheme of points on an Enriques surface
• Hochschild cohomology and deformations of $\mathbb{P}$-functors