Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김현규 | - |
dc.date.accessioned | 2019-11-19T16:30:48Z | - |
dc.date.available | 2019-11-19T16:30:48Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.issn | 1090-2082 | - |
dc.identifier.other | OAK-25861 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/252008 | - |
dc.description.abstract | Quantization of universal Teichmuller space provides projective representations of the Ptolemy-Thompson group, which is isomorphic to the Thompson group T. This yields certain central extensions of T by Z, called dilogarithmic central extensions. We compute a presentation of the dilogarithmic central extension (T) over cap (Kash) of T resulting from the Kashaev quantization, and show that it corresponds to 6 times the Euler class in H-2 (T; Z). Meanwhile, the braided Ptolemy-Thompson groups T*, T-# of Funar-Kapoudjian are extensions of T by the infinite braid group B-infinity and by abelianizing the kernel B-infinity one constructs central extensions T-ab*, T-ab(#) of T by Z, which are of topological nature. We show (T) over cap (Kash) congruent to T-ab(#) Our result is analogous to that of Funar and Sergiescu, who computed a presentation of another dilogarithmic central extension (T) over cap (CF) of T resulting from the Chekhov-Fock (-Goncharov) quantization and thus showed that it corresponds to 12 times the Euler class and that (T) over cap (CF) congruent to T-ab*. In addition, we suggest a natural relationship between the two quantizations in the level of projective representations. (C) 2016 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | Quantum Teichmuller theory | - |
dc.subject | Thompson group T | - |
dc.subject | Ptolemy-Thompson group | - |
dc.subject | Kashaev quantization | - |
dc.subject | Braided Ptolemy-Thompson group | - |
dc.subject | Universal Teichmuller space | - |
dc.subject | Stable braid group | - |
dc.subject | Infinite braid group | - |
dc.title | The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization | - |
dc.type | Article | - |
dc.relation.volume | 293 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 529 | - |
dc.relation.lastpage | 588 | - |
dc.relation.journaltitle | ADVANCES IN MATHEMATICS | - |
dc.identifier.doi | 10.1016/j.aim.2016.02.016 | - |
dc.identifier.wosid | WOS:000373093200011 | - |
dc.author.google | Kim, Hyun Kyu | - |
dc.contributor.scopusid | 김현규(57020218000) | - |
dc.date.modifydate | 20220901081003 | - |