A Riemann-Hilbert correspondence for cohomology theories of closed 1-forms
arXiv:2604.17722 · doi:10.1007/s11005-026-02115-2
Abstract
Motivated by the work of Kontsevich-Soibelman on the comparison of isomorphisms conjecture for closed algebraic -forms, we establish a Riemann-Hilbert correspondence of Deligne-Malgrange type. As an application, we prove a variant of the comparison of isomorphisms theorem for a simple class of algebraic -forms on complex curves.
48 pages, to appear in Letters in Mathematical Physics