The Z-slice genus of a satellite knot is at most the Z-slice genus of the pattern applied to the unknot plus the Z-slice genus of the companion knot.
On the topological 4-genus of torus knots
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.
fields
math.GT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A note on the topological slice genus of satellite knots
The Z-slice genus of a satellite knot is at most the Z-slice genus of the pattern applied to the unknot plus the Z-slice genus of the companion knot.