Speaker: Balarka Sen, TIFR Mumbai
November 30, 2024 10:30 AM
- 11:30 AM
Abstract:
A recent result due to Joel Fine and Dmitri Panov shows every even dimensional closed manifold admits a map of positive degree (i.e. a domination) from a symplectic manifold of the same dimension. We establish a contact analogue of this theorem by showing that every odd dimensional closed manifold is dominated by a tight (in fact, exactly-fillable) contact manifold. Moreover, we investigate the question of domination by Stein-fillable manifolds. Time permitting, we provide some applications regarding asymptotically contact-holomorphic divisors. This is a joint work with Ritwik Chakraborty and Kiran Ajij.