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Local moves on knots and products of knots

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Kauffman L., Ogasa E.

Banach Center Publications

2014

tom 103

nr 1

159-209

We show a relation between products of knots, which are generalized from the theory of isolated singularities of complex hypersurfaces, and local moves on knots in all dimensions. We discuss the following problem. Let K be a 1-knot which is obtained from another 1-knot J by a single crossing change (resp. pass-move). For a given knot A, what kind of relation do the products of knots, K ⊗ A and J ⊗ A, have? We characterize these kinds of relation between K ⊗ A and J ⊗ A by using local moves on high dimensional knots. We also discuss a connection between local moves and knot invariants. We show a new form of identities for knot polynomials associated with a local move.

Ograniczanie wyników

1 Banach Center Publications

1 Kauffman L.

1 Ogasa E.

1 2014

Wyniki wyszukiwania

Local moves on knots and products of knots