108 citations · 436 across the 24 of their papers we have counts for
27 papers
Effective Categorical Enumerative Invariants
Andrei Caldararu, Junwu Tu
We introduce enumerative invariants , associated to a cyclic algebra and a splitting of its non-commutative Hodge filtration. These invari…
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…
Categorical Enumerative Invariants, I: String vertices
Andrei Caldararu, Kevin Costello, Junwu Tu
We define combinatorial counterparts to the geometric string vertices of Sen-Zwiebach and Costello-Zwiebach, which are certain closed subsets of the moduli spaces of curves. Our co…
Categorical Enumerative Invariants, II: Givental formula
Andrei Caldararu, Junwu Tu
To a pair consisting of a smooth, cyclic -algebra and a splitting of the Hodge filtration on its Hochschild homology Costello (2005) associates an invaria…
Categorical primitive forms and Gromov-Witten invariants of singularities
Andrei Caldararu, Si Li, Junwu Tu
We introduce a categorical analogue of Saito's notion of primitive forms. Let denote the potential . For the category of matrix factorizations of…