Junwu Tu

collaborators

5 papers

math.AG2026

B-model Categorical Enumerative Invariants and holomorphic anomaly equations

Yefeng Shen, Junwu Tu

In this paper, we study the B-model categorical enumerative invariants (CEI) associated with derived categories of coherent sheaves on smooth projective Calabi-Yau $3$ -folds. We fi…

math.SG2026

Categorical enumerative invariants of the ground field

Junwu Tu

For an $S^{1}$ -framed modular operad $P$ , we introduce its "Feynman compactification" denoted by $F P$ which is a modular operad. Let ${M^{fr} (g, n)}_{(g, n)}$ be the $S^…

math.AG2025

On a theorem of Keller over a base ring

Zhihang Chen, Junwu Tu

Let $X$ be a quasi-compact separated scheme over a base field. Keller proved a theorem stating that the cyclic homology of $X$ is canonically isomorphic to the cyclic homology of t…

math.AG2025

On the Morita invariance of Categorical Enumerative Invariants

Lino Amorim, Junwu Tu

Categorical Enumerative Invariants (CEI) are invariants associated with a unital, cyclic, smooth $A_{\infty}$ -category and a splitting of its non-commutative Hodge filtration. In thi…

math.SG2025

Categorical Enumerative Invariants, II: Givental formula

Andrei Caldararu, Junwu Tu

To a pair $(A, s)$ consisting of a smooth, cyclic $A_{\infty}$ -algebra $A$ and a splitting $s$ of the Hodge filtration on its Hochschild homology Costello (2005) associates an invaria…