S. Merkulov

collaborators

3 papers

math.AT2026

A hypergraph model for the cyclic BV operad and its applications

Sergei Merkulov

A dg cyclic operad $B V H g r a p h s$ of hypergraphs is introduced which comes equipped with an explicit quasi-isomorphism $B V \to B V H g r a p h s$ from the { cyclic} operad $B V$ of Bata…

math.AG2025

A complex of ribbon quivers and $M_{g, m}$

Sergei Merkulov

For any integer $d \in Z$ we introduce a complex $ORGC_{d}^{(g, m)}$ spanned by genus $g$ ribbon quivers with $m$ marked boundaries and prove that its cohomology co…

math.QA2025

Pre-Calabi-Yau algebras and oriented gravity properad

Sergei Merkulov

We study the dual cyclic Hochschild complex $C y c^{∙} (A, K)$ of a (possibly, infinite-dimensional) $A_{\infty}$ -algebra $(A, I^¼)$ and prove that any pre-Calabi-Yau extensio…

A hypergraph model for the cyclic BV operad and its applications

A complex of ribbon quivers and Mg,m​

Pre-Calabi-Yau algebras and oriented gravity properad

A complex of ribbon quivers and $M_{g, m}$