Yun Shi

collaborators

4 papers

math.AG2021

D-critical loci for local toric Calabi-Yau 3-folds

Sheldon Katz, Yun Shi

The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. There is a canonical d-critical locus structure on the Hilber…

math.DG2021

The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of $F_{4 (- 20)}$

Yun Shi, Wei Wang

An octonionic contact (OC) manifold is always spherical. We construct the OC Yamabe operator on an OC manifold and prove its transformation formula under conformal OC transformatio…

math.CV2018

The tangential $k$ -Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

Yun Shi, Wei Wang

We construct the tangential $k$ -Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of $\partial_{b}$ -complex on the Heisen…

math.AG2018

Orientation data for coherent sheaves on the local projective plane

Yun Shi

In this note, we show that the canonical orientation data on the quiver hearts are compatible under the autoequivalence $_\otimes π^{*} O (1)$ , and hence glue to give an orientation da…

D-critical loci for local toric Calabi-Yau 3-folds

The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of F4(−20)​

The tangential k-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

Orientation data for coherent sheaves on the local projective plane

The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of $F_{4 (- 20)}$

The tangential $k$ -Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group