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RIMS1946.pdf | 823.5 kB | Adobe PDF | 見る/開く |
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dc.contributor.author | KARUO, Hiroaki | en |
dc.contributor.alternative | 軽尾, 浩晃 | ja |
dc.contributor.transcription | カルオ, ヒロアキ | ja-Kana |
dc.date.accessioned | 2021-03-25T09:37:51Z | - |
dc.date.available | 2021-03-25T09:37:51Z | - |
dc.date.issued | 2021-03 | - |
dc.identifier.uri | http://hdl.handle.net/2433/262335 | - |
dc.description.abstract | In 2004, W.D. Neumann showed that the complex hyperbolic volume of a hyperbolic 3-manifold M can be obtained as the image of the Dijkgraaf-Witten invariant of M by a certain 3-cocycle. After that, C.K. Zickert gave an analogue of the Neumann's work for free fields containing finite fields. The author formulated a simple method to calculate a weaker version of the Zickert's analogue, called the reduced Dijkgraaf-Witten invariant, for finite fields and gave a formula for twist knot complements and $mathbb{F}_p$ in his previous work. In this paper, we show concretely how to calculate the reduced Dijkgraaf-Witten invariants of double twist knot complements and $mathbb{F}_p$, and give a formula of them for p = 7. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.subject | the Dijkgraaf-Witten invariant | - |
dc.subject | double twist knots | - |
dc.subject | Bloch groups | - |
dc.subject | finite fields | - |
dc.subject | 57K10 | - |
dc.subject | 57K31 | - |
dc.subject | 57K32 | - |
dc.subject.ndc | 410 | - |
dc.title | The reduced Dijkgraaf–Witten invariant of double twist knots in the Bloch group of $mathbb{F}_p$ | en |
dc.type | other | - |
dc.type.niitype | Preprint | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 35 | - |
dc.textversion | author | - |
dc.identifier.artnum | RIMS-1946 | - |
dc.sortkey | 1946 | - |
dc.address | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.identifier.kaken | 20J10108 | - |
dc.relation.url | http://www.kurims.kyoto-u.ac.jp/preprint/index.html | - |
dcterms.accessRights | open access | - |
出現コレクション: | 数理解析研究所プレプリント |
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