3 papers
math.AT2025
Koszul duality and Calabi-Yau structures
Julian Holstein, Manuel Rivera
We show that Koszul duality between differential graded categories and pointed curved coalgebras interchanges smooth and proper Calabi-Yau structures. This result is a generalizati…
math.AG2025
Gluing invariants of Donaldson--Thomas type -- Part I: the Darboux stack
Benjamin Hennion, Julian Holstein, Marco Robalo
Let be a (-1)-shifted symplectic derived Deligne--Mumford stack. In this paper we introduce the Darboux stack of , parametrizing local presentations of as a derived crit…
math.AG2025
Gluing invariants of Donaldson--Thomas type -- Part II: Matrix factorizations
Benjamin Hennion, Julian Holstein, Marco Robalo
This paper is a follow-up to arXiv:2407.08471. Let be a a -shifted symplectic derived Deligne--Mumford stack. Thanks to the Darboux lemma of Brav--Bussi--Joyce, is lo…