Non-looseness of non-loose knots
classification
🧮 math.SG
math.GT
keywords
non-loosecomplementknotnon-loosenessovertwistedcontactdefinedistinct
read the original abstract
A Legendrian or transverse knot in an overtwisted contact 3-manifold is non-loose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of non-looseness of a non-loose knot and show they are distinct.
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