Every lens space that supports a non-free toric contact action has exactly one tight and two overtwisted contact structures up to contactomorphism, and all are concave boundaries of linear plumbings.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Contact 3-manifolds that admit a non-free toric action
Every lens space that supports a non-free toric contact action has exactly one tight and two overtwisted contact structures up to contactomorphism, and all are concave boundaries of linear plumbings.