3 papers
math.QA2026
A Non Commutative Grauert Theorem and Fourier Mukai Duality for Generalized Complex Tori
Patrick Antweiler, Jonathan Block
We prove a generalization of Grauert's higher coherence theorem for a class of curved differential graded (non-commutative) Fréchet algebras. This allows us to extend the Fourier-M…
math.QA2025
Continuous Hochschild Cohomology and Formality
Patrick Antweiler
We define the appropriate homological setting to study deformation theory of complete locally convex (curved) dg-algebras based on Positselski's contraderived categories. We define…
math.AT2024
Curved -Local Systems And Projectively Flat Riemann-Hilbert Correspondence
Patrick Antweiler
We generalize the higher Riemann-Hilbert correspondence in the presence of scalar curvature for a (possibly non-compact) smooth manifold . We show that the dg-category of curved…