vix.ing · top · new · best · stats · spec

Links in overtwisted contact manifolds

2020/11/24 by Chatterjee, Rima
#57K10(Secondary) #57K33(Primary) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2011.12217

Abstract

We prove that Legendrian and transverse links in overtwisted contact structures having overtwisted complements can be classified coarsely by their classical invariants. We further prove that any coarse equivalence class of loose links has support genus zero and constructed examples to show that the converse does not hold.

Related