3 citations · 7 across the 6 of their papers we have counts for
6 papers
When are two HKR isomorphisms equal?
Shengyuan Huang
Let be a closed embedding of smooth schemes which splits to first order. An HKR isomorphism is an isomorphism between the shifted normal bundle $\mathbb{N}_{X/…
The orbifold Hochschild product for Fermat hypersurface
Shengyuan Huang, Kai Xu
Let be an abelian group acting on a smooth algebraic variety . We investigate the product structure and the bigrading on the cohomology of polyvector fields on the orbifold…
Moonshine at Landau-Ginzburg points
Andrei Caldararu, Yunfan He, Shengyuan Huang
We formulate a conjecture predicting unexpected relationships among the coefficients of the elliptic expansions of Klein's modular j-function around j = 0 and j = 1728. Our conject…
The cup product in orbifold Hochschild cohomology
Andrei Caldararu, Shengyuan Huang
We study the multiplicative structure of orbifold Hochschild cohomology in an attempt to generalize the results of Kontsevich and Calaque-Van den Bergh relating the Hochschild and…
A note on a question of Markman
Shengyuan Huang
Let be a vector bundle on a complex projective algebraic variety . If deforms along a first order deformation of , its Mukai vector remains of Hod…
Functoriality of HKR isomorphisms
Shengyuan Huang
For a closed embedding of smooth schemes with a fixed first order splitting, one can construct HKR isomorphisms between the derived scheme and…