On the contact class in Heegaard Floer homology
Ko Honda, William H. Kazez, Gordana Matic
Abstract
We present an alternate description of the Ozsvath-Szabo contact class in Heegaard Floer homology. Using our contact class, we prove that if a contact structure (M,ξ) has an adapted open book decomposition whose page S is a once-punctured torus, then the monodromy is right-veering if and only if the contact structure is tight.
Create a lesson
Related papers
Mapping class groups have a unique Polish group structure
Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman et al.
Around the Andreadakis-Johnson filtration
Yusuke Kuno
Mapping class groups of simply connected closed spin 5-manifolds with no 2- and 3-torsion in homology
Huize Jin
A note on surfaces with large systoles
Yifei Cai
Real ideal points, Conway spheres, and left-orderable Dehn fillings
Yi Wang
All once-extended 3D TQFTs are Reshetikhin--Turaev theories
Glen Lim