The Hopf algebra of formal multiple polylogarithms
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913996425134080 |
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| author | Charlton, Steven Matveiakin, Andrei Radchenko, Danylo Rudenko, Daniil |
| author_facet | Charlton, Steven Matveiakin, Andrei Radchenko, Danylo Rudenko, Daniil |
| contents | We define a Hopf algebra of polylogarithms of an arbitrary field, which is a candidate for a conjectural Hopf algebra of framed mixed Tate motives. Our definition is elementary and mimics Goncharov's construction of higher Bloch groups. We also discuss the Hodge and motivic realizations of the Hopf algebra of polylogarithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Hopf algebra of formal multiple polylogarithms Charlton, Steven Matveiakin, Andrei Radchenko, Danylo Rudenko, Daniil Number Theory Algebraic Geometry We define a Hopf algebra of polylogarithms of an arbitrary field, which is a candidate for a conjectural Hopf algebra of framed mixed Tate motives. Our definition is elementary and mimics Goncharov's construction of higher Bloch groups. We also discuss the Hodge and motivic realizations of the Hopf algebra of polylogarithms. |
| title | The Hopf algebra of formal multiple polylogarithms |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2411.15071 |