3 papers
math.CV2026
Cohomology of CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke, Vinícius Novelli +1
We show that, under a division condition, the tangential Cauchy--Riemann cohomology of a compact Lie group with a left-invariant CR structure can be computed on a suitable maximal…
math.AP2026
Real involutive systems on compact Lie groups
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
On a compact connected Lie group , we study the global solvability and the cohomology spaces of the differential complex associated with an essentially real involutive structure…
math.CV2019
Top-degree solvability for hypocomplex structures and the cohomology of left-invariant involutive structures on compact Lie groups
Max Reinhold Jahnke
We use the theory of dual of Fréchet-Schwartz (DFS) spaces to establish a sufficient condition for top-degree solvability for the differential complex associated to a hypocomplex l…