2025/02/19 by Sekh Kiran Ajij, Ajij, Sekh Kiran, Ritwik Chakraborty +2
Business, Management and Accounting · #53D10 #Business Strategy and Innovation #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2502.13927
openalex publication_date 2025/02/19 · openalex created_date 2025/02/21 · openalex updated_date 2026/07/28
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 dimension. This provides an odd-dimensional counterpart of a symplectic domination result due to Joel Fine and Dmitri Panov. We prove that the dominating contact manifold can be ensured to be Liouville-fillable, but not Weinstein-fillable in general. We discuss an application for contact divisors arising as zero sets of asymptotically contact-holomorphic sections.