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The Classification of Spun Torus Knots by Winter, Blake is a scholarly article available to read on EtoBox.

What is The Classification of Spun Torus Knots about?

S. Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the invariant of the peripheral structure, it is possible to provide a restriction on this failure of injectivity. In particular we also provide an algebraic classification of the construction when restricted to classical knots, where it is equivalent to the torus spinning construction.

Author

Winter, Blake

Published

2007

Language

EN