Showing 2025Show all
2 papers · 1 filter
math.SG2025
Contact domination
Sekh Kiran Ajij, Ritwik Chakraborty, Balarka Sen
In this note, we prove that every closed connected oriented odd-dimensional manifold admits a map of non-zero degree (i.e., a domination) from a tight contact manifold of the same…
math.DG2025
Positive scalar curvature and exotic structures on simply connected four manifolds
Aditya Kumar, Balarka Sen
We address Gromov's band width inequality and Rosenberg's -stability conjecture for simply connected smooth four manifolds. Both results are known to be false in dimension 4 d…