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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.24497 |
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| _version_ | 1866911626546905088 |
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| author | Nakajima, Yasuhito Yamaguchi, Kentaro |
| author_facet | Nakajima, Yasuhito Yamaguchi, Kentaro |
| contents | We investigate the necessary and sufficient condition for the existence of good involutions of symplectic quandles, which are defined on free $R$-modules with an antisymmetric bilinear form. In particular, we discuss the nonexistence of good involutions of symplectic quandles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24497 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the nonexistence of good involutions of symplectic quandles Nakajima, Yasuhito Yamaguchi, Kentaro Geometric Topology 57K12, 20N02, 13A99 We investigate the necessary and sufficient condition for the existence of good involutions of symplectic quandles, which are defined on free $R$-modules with an antisymmetric bilinear form. In particular, we discuss the nonexistence of good involutions of symplectic quandles. |
| title | On the nonexistence of good involutions of symplectic quandles |
| topic | Geometric Topology 57K12, 20N02, 13A99 |
| url | https://arxiv.org/abs/2604.24497 |