Abstract
A Legendrian or transverse knot in an overtwisted contact 3–manifold is nonloose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of nonlooseness of a nonloose knot and show they are distinct.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1031-1066 |
| Number of pages | 36 |
| Journal | Algebraic and Geometric Topology |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 22 2015 |
Fingerprint
ASJC Scopus subject areas
- Geometry and Topology
Cite this
Nonlooseness of nonloose knots. / Baker, Kenneth; Onaran, Sinem.
In: Algebraic and Geometric Topology, Vol. 15, No. 2, 22.04.2015, p. 1031-1066.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonlooseness of nonloose knots
AU - Baker, Kenneth
AU - Onaran, Sinem
PY - 2015/4/22
Y1 - 2015/4/22
N2 - A Legendrian or transverse knot in an overtwisted contact 3–manifold is nonloose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of nonlooseness of a nonloose knot and show they are distinct.
AB - A Legendrian or transverse knot in an overtwisted contact 3–manifold is nonloose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of nonlooseness of a nonloose knot and show they are distinct.
UR - http://www.scopus.com/inward/record.url?scp=84928990928&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928990928&partnerID=8YFLogxK
U2 - 10.2140/agt.2015.15.1031
DO - 10.2140/agt.2015.15.1031
M3 - Article
AN - SCOPUS:84928990928
VL - 15
SP - 1031
EP - 1066
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
SN - 1472-2747
IS - 2
ER -