3 papers
math.QA2026
On dg properads of pre-CY algebras
Sergei A. Merkulov
We present new small models for the dg properads that govern pre-CY algebras: one for general pre-CY algebras and one for pre-CY algebras without curvature terms. These small model…
math.AG2026
A low-valence ribbon graph complex computing the cohomology of
Sergei A. Merkulov
It is proven that every cohomology class of the moduli space for any , can be represented combinatorially by a ribbon quiver with at most four-valen…
math.AG2002
Operads, deformation theory and F-manifolds
S. A. Merkulov
It is shown that every algebra over the chain operad of the little disks operad gives naturally rise to a Hertling-Manin's F-manifold, that is a smooth manifold equipped with an in…