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Kauffman states and Heegaard diagrams for tangles

Kauffman states and Heegaard diagrams for tangles

We define polynomial tangle invariants r s T via Kauffman states and Alexander codes and investigate some of their properties.In particular, we prove symmetry relations for r s T of 4-ended tangles and deduce that the multivariable Alexander polynomial is invariant under Conway mutation.The invariants r s T can be …