On symmetric equivalence of symmetric union diagrams

Carlo Collari; Paolo Lisca

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arXiv · 1901.10270

On symmetric equivalence of symmetric union diagrams

Carlo Collari·Paolo Lisca

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Abstract

Eisermann and Lamm introduced a notion of symmetric equivalence among symmetric union diagrams and studied it using a refined form of the Jones polynomial. We introduced invariants of symmetric equivalence via refined versions of topological spin models and provided a partial answer to a question left open by Eisermann and Lamm. In this paper we adopt a new approach to the symmetric equivalence problem and give a complete answer to the original question left open by Eisermann and Lamm.

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Carlo Collari, Paolo Lisca. 2019-01-29. On symmetric equivalence of symmetric union diagrams. https://arxiv.org/abs/1901.10270

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