21 citations · 45 across the 14 of their papers we have counts for
12 papers · 1 filter
Instantons on the Blown-up Surface and the Affine Vertex Algebra
Qingyuan Jiang, Wei-Ping Li, Yu Zhao
We answer a long-standing question raised by Vafa--Witten on a relation between S-duality and conformal field theory, which related Yoshioka's blow-up formula and the WZW model for…
Hilbert schemes on blowing ups and the free Boson
Yu Zhao
For different cohomology theories (including the Hochschild homology, Hodge cohomology, Chow groups, and Grothendieck groups of coherent sheaves), we identify the cohomology of mod…
The Degeneracy Loci for Smooth Moduli of Sheaves
Yu Zhao
Let S be a smooth projective surface over the complex field. Under certain technical assumptions, we prove that the degeneracy locus of the universal sheaf over the moduli space of…
A Generalized vanishing theorem for Blow-ups of Quasi-smooth Stacks
Yu Zhao
We prove a generalized vanishing theorem for certain quasi-coherent sheaves along the derived blow-ups of quasi-smooth derived Artin stacks. We give four applications of the genera…
A Note on the Strict Transformation of an Effective Cartier Divisor
Yu Zhao
Let be an effective Cartier divisor of a smooth variety . Let , be a set of pairwise disjoint smooth subvarieties in such that their union c…
Derived Blow-ups and Birational Geometry of Nested Quiver Varieties
Yu Zhao
Given a quiver, Nakajima introduced the quiver variety and the Hecke correspondence, which is a closed subvariety of Cartesian products of quiver varieties. In this paper, we consi…
Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes
Yu Zhao
We prove a desingularization theorem for the quasi-smooth derived scheme, in the sense of Hekking. We also propose the conjecture that the K-theoretic integration of the virtual fu…
Moduli Space of Sheaves and Categorified Commutator of Functors
Yu Zhao
We construct a weak categorification of the quantum toroidal algebra action on the Grothendieck group of moduli space of stable (or framed) sheaves over an algebraic surface, which…
A Serre Relation in the -theoretic Hall algebra of surfaces
Junyao Peng, Yu Zhao
We prove a Serre relation in the -theoretic Hall algebra of surfaces constructed by Kapranov-Vasserot and the second author.
A Categorical Quantum Toroidal Action on Hilbert Schemes
Yu Zhao
We categorify the commutation of Nakajima's Heisenberg operators and their infinitely many counterparts in the quantum toroidal algebra actin…
The Wheel Conditions and K-theoretic Hall Algebras
Yu Zhao
In this note, we give a geometric realization of the wheel conditions initiated by Feigin-Odesskii through the K-theoretic Hall algebra on the affine plane.
On the -theoretic Hall algebra of a surface
Yu Zhao
In this paper, we define the -theoretic Hall algebra for -dimensional coherent sheaves on a smooth projective surface, prove that the algebra is associative and construct a h…