On the 2-loop part of the Johnson cokernel
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915641330499584 |
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| author | Kuno, Yusuke Sato, Masatoshi |
| author_facet | Kuno, Yusuke Sato, Masatoshi |
| contents | We study stable Sp-decompositions of the cokernel of the Johnson homomorphism. Continuing the work of Conant in 2016, which identified the 1-loop part of the Johnson cokernel as the Enomoto-Satoh obstruction, we study the 2-loop part. Using the corresponding 2-loop trace map, we capture all the components of the Johnson cokernels in degree 6 that cannot be detected by the Enomoto-Satoh trace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the 2-loop part of the Johnson cokernel Kuno, Yusuke Sato, Masatoshi Geometric Topology Algebraic Topology Quantum Algebra 57K20 (Primary) 17B40 (Secondary) We study stable Sp-decompositions of the cokernel of the Johnson homomorphism. Continuing the work of Conant in 2016, which identified the 1-loop part of the Johnson cokernel as the Enomoto-Satoh obstruction, we study the 2-loop part. Using the corresponding 2-loop trace map, we capture all the components of the Johnson cokernels in degree 6 that cannot be detected by the Enomoto-Satoh trace. |
| title | On the 2-loop part of the Johnson cokernel |
| topic | Geometric Topology Algebraic Topology Quantum Algebra 57K20 (Primary) 17B40 (Secondary) |
| url | https://arxiv.org/abs/2508.19041 |