The d-critical structure on the quot scheme of points of a Calabi-Yau 3-fold

Parametrization (Chow and Hilbert schemes) (14C05) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)

Cites Work

Unnamed Item
Unnamed Item
Shifted symplectic structures
Counting zero-dimensional subschemes in higher dimensions
Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
A classical model for derived critical loci
Non-commutative Donaldson-Thomas invariants and the conifold
Symmetric obstruction theories and Hilbert schemes of points on threefolds
The intrinsic normal cone
Moduli stacks of semistable sheaves and representations of Ext-quivers
Tangent Lie algebra of derived Artin stacks
The equivariant Atiyah class
Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects
Virtual counts on Quot schemes and the higher rank local DT/PT correspondence
Virtual classes and virtual motives of Quot schemes on threefolds
Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
A `Darboux theorem' for shifted symplectic structures on derived Artin stacks, with applications
Derived quot schemes
Symmetries and stabilization for sheaves of vanishing cycles
Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
A Darboux theorem for derived schemes with shifted symplectic structure
Higher rank K-theoretic Donaldson-Thomas Theory of points
K-Theoretic Generalized Donaldson–Thomas Invariants
Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics
Shifted Poisson structures and deformation quantization
On motivic vanishing cycles of critical loci
Moduli of objects in dg-categories
D‐critical loci for length n sheaves on local toric Calabi‐Yau 3‐folds