A note on exceptional groups and Reidemeister torsion
| dc.contributor.author | Hezenci, Fatih | |
| dc.contributor.author | Sözen, Yaşar | |
| dc.date.accessioned | 2020-04-30T22:38:45Z | |
| dc.date.available | 2020-04-30T22:38:45Z | |
| dc.date.issued | 2018 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | HEZENCI, fatih/0000-0003-1008-5856 | en_US |
| dc.description | WOS: 000443724800018 | en_US |
| dc.description.abstract | Let Sigma be a closed orientable surface of genus at least 2 and G be one of the exceptional groups G(2), F-4, and E-6. The present article considers the set Rep(Sigma, G) of G-valued representations from the fundamental group pi(1)(Sigma) of the surface Sigma to the exceptional group G. It proves that for such representations the notion of Reidemeister torsion is well-defined. It also establishes a formula for computing Reidemeister torsion of such representations in terms of the well-known symplectic structure on Rep(Sigma, G), namely, the Atiyah-Bott-Goldman symplectic form for the Lie group G. Moreover, it applies to G-valued Hitchin representations. Published by AIP Publishing. | en_US |
| dc.identifier.doi | 10.1063/1.5021318 | en_US |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1063/1.5021318 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/2423 | |
| dc.identifier.volume | 59 | en_US |
| dc.identifier.wos | WOS:000443724800018 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Inst Physics | en_US |
| dc.relation.ispartof | Journal Of Mathematical Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | A note on exceptional groups and Reidemeister torsion | en_US |
| dc.type | Article | en_US |
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