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October 2021 On symmetric equivalence of symmetric union diagrams
Carlo COLLARI, Paolo LISCA
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Osaka J. Math. 58(4): 755-765 (October 2021).

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.

Funding Statement

The second author was partially supported by the MIUR-PRIN project 2017JZ2SW5.

Citation

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Carlo COLLARI. Paolo LISCA. "On symmetric equivalence of symmetric union diagrams." Osaka J. Math. 58 (4) 755 - 765, October 2021.

Information

Received: 5 February 2020; Published: October 2021
First available in Project Euclid: 11 October 2021

Subjects:
Primary: 57K10
Secondary: 57K16

Rights: Copyright © 2021 Osaka University and Osaka City University, Departments of Mathematics

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Vol.58 • No. 4 • October 2021
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