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- Title
INVARIANTS OF HANDLEBODY-KNOTS VIA YOKOTA'S INVARIANTS.
- Authors
MIZUSAWA, ATSUHIKO; MURAKAMI, JUN
- Abstract
We construct quantum type invariants for handlebody-knots in the 3-sphere S3. A handlebody-knot is an embedding of a handlebody in a 3-manifold. These invariants are linear sums of Yokota's invariants for colored spatial graphs which are defined by using the Kauffman bracket. We give a table of calculations of our invariants for genus 2 handlebody-knots up to six crossings. We also show our invariants are identified with special cases of the Witten-Reshetikhin-Turaev invariants.
- Subjects
INVARIANTS (Mathematics); HANDLEBODIES; KNOT theory; QUANTUM theory; GRAPH theory; LINEAR statistical models
- Publication
Journal of Knot Theory & Its Ramifications, 2013, Vol 22, Issue 11, p-1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216513500685