20 citations · 29 across the 3 of their papers we have counts for
4 papers
Hyperbolic rational homology spheres not admitting fillable contact structures
Amey Kaloti, Bulent Tosun
In this short note, we exhibit an infinite family of hyperbolic rational homology --spheres which do not admit any fillable contact structures. We also note that most of these m…
Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
James Conway, Amey Kaloti, Dheeraj Kulkarni
In this note, we exhibit infinite families of tight non-fillable contact manifolds supported by planar open books with vanishing Heegaard Floer contact invariants. Moreover, we als…
Stein fillings of planar open books
Amey Kaloti
We prove that if a contact manifold is supported by a planar open book, then Euler characteristic and signature of any Stein filling of is bounded. We also prove a…
Stein fillings of contact 3-manifolds obtained as Legendrian surgeries
Amey Kaloti, Youlin Li
In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian su…