2 papers
math.AT2026
Pluripotential operadic calculus
Anna Sopena-Gilboy
This paper explores a new context for operadic calculus and Koszul duality arising in the study of complex manifolds or, more abstractly, of bidifferential bigraded algebras up to…
math.AT2026
The inflation functor in pluripotential homological algebra
Pedro Magalhães, Anna Sopena-Gilboy
We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show thi…