ON DOUBLE-TORUS KNOTS (I)-Reference-Cited by-同舟云学术

ON DOUBLE-TORUS KNOTS (I)

Published:1999-12 Issue:08 Volume:08 Page:1009-1048
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HILL PETER¹

Affiliation:

1. Department of Mathematics, University of Toronto, Toronto, ON M5S 2G3, Canada

Abstract

A double-torus knot is knot embedded in a genus two Heegaard surface [Formula: see text] in S3. After giving a notation for these knots, we consider double-torus knots L such that [Formula: see text] is not connected, and give a criterion for such knots to be non-trivial. Various new types of non-trivial knots with trivial Alexander polynomial are found.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216599000651

Reference8 articles.

1. �ber das Geschlecht von Knoten

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