Journal article

### Spectral order for contact manifolds with convex boundary

Abstract:

We extend the Heegaard Floer homological definition of spectral order for closed contact 3–manifolds due to Kutluhan, Matić, Van Horn-Morris, and Wand to contact 3–manifolds with convex boundary. We show that the order of a codimension-zero contact submanifold bounds the order of the ambient manifold from above. As the neighborhood of an overtwisted disk has order zero, we obtain that overtwisted contact structures have order zero. We also prove that the order of a small perturbation of a G...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Version of record, pdf, 405.3KB)
Publisher copy:
10.2140/agt.2018.18.3315

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Keble College
Role:
Author
ORCID:
0000-0003-3705-2288
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More from this funder
Funding agency for:
Juhasz, A
Grant:
Research Fellowship UF150667
Publisher:
Mathematical Sciences Publishers Publisher's website
Journal:
Algebraic and Geometric Topology Journal website
Volume:
18
Issue:
6
Pages:
3315–3338
Publication date:
2018-10-18
Acceptance date:
2018-05-25
DOI:
EISSN:
1472-2739
ISSN:
1472-2747
Source identifiers:
853835
Keywords:
Pubs id:
pubs:853835
UUID:
uuid:4229c0ab-412b-43ea-9449-65186dc9abba
Local pid:
pubs:853835
Deposit date:
2018-05-25