Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 김현규 | - |
dc.date.accessioned | 2019-11-19T16:30:46Z | - |
dc.date.available | 2019-11-19T16:30:46Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.issn | 1432-1823 | - |
dc.identifier.other | OAK-25871 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/251998 | - |
dc.description.abstract | We define new coordinates for Fock-Goncharov's higher Teichmuller spaces for a surface with holes, which are the moduli spaces of representations of the fundamental group into a reductive Lie group G. Some additional data on the boundary leads to two closely related moduli spaces, the -space and the -space, forming a cluster ensemble. Fock and Goncharov gave nice descriptions of the coordinates of these spaces in the cases of and , together with Poisson structures. We consider new coordinates for higher Teichmuller spaces given as ratios of the coordinates of the -space for , which are generalizations of Kashaev's ratio coordinates in the case . Using Kashaev's quantization for , we suggest a quantization of the system of these new ratio coordinates, which may lead to a new family of projective representations of mapping class groups. These ratio coordinates depend on the choice of an ideal triangulation decorated with a distinguished corner at each triangle, and the key point of the quantization is to guarantee certain consistency under a change of such choices. We prove this consistency for , and for completeness we also give a full proof of the presentation of Kashaev's groupoid of decorated ideal triangulations. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Ratio coordinates for higher Teichmuller spaces | - |
dc.type | Article | - |
dc.relation.issue | 1-2 | - |
dc.relation.volume | 283 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 469 | - |
dc.relation.lastpage | 513 | - |
dc.relation.journaltitle | MATHEMATISCHE ZEITSCHRIFT | - |
dc.identifier.doi | 10.1007/s00209-015-1607-4 | - |
dc.identifier.wosid | WOS:000374562900022 | - |
dc.author.google | Kim, Hyun Kyu | - |
dc.contributor.scopusid | 김현규(57020218000) | - |
dc.date.modifydate | 20220901081003 | - |