| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659770 | Topology and its Applications | 2012 | 7 Pages |
Abstract
We show that a finite type invariant of order at most 4 for genus 2 handlebody-knots is a constant map. For this purpose, we give a concrete basis for the vector space of all finite type invariants of order at most 4 for spatial theta-curves, which makes a correction to Koikeʼs result. Each invariant of the basis is derived from the HOMFLYPT polynomial of the associated 3-component link of a spatial theta-curve.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
