Please use this identifier to cite or link to this item:
https://doi.org/10.1090/S1079-6762-05-00153-8
DC Field | Value | |
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dc.title | The SL(2, ℂ) character variety of a one-holed torus | |
dc.contributor.author | Tan, S.P. | |
dc.contributor.author | Wong, Y.L. | |
dc.contributor.author | Zhang, Y. | |
dc.date.accessioned | 2014-10-28T02:48:20Z | |
dc.date.available | 2014-10-28T02:48:20Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Tan, S.P., Wong, Y.L., Zhang, Y. (2005). The SL(2, ℂ) character variety of a one-holed torus. Electronic Research Announcements of the American Mathematical Society 11 : 103-110. ScholarBank@NUS Repository. https://doi.org/10.1090/S1079-6762-05-00153-8 | |
dc.identifier.issn | 10796762 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/104355 | |
dc.description.abstract | In this note we announce several results concerning the SL(2, ℂ) character variety χ of a one-holed torus. We give a description of the largest open subset χBQ of χ on which the mapping class group Γ acts properly discontinuously, in terms of two very simple conditions, and show that a series identity generalizing McShane's identity for the punctured torus holds for all characters in this subset. We also give variations of the McShane-Bowditch identities for characters fixed by an Anosov element of Γ with applications to closed hyperbolic three-manifolds. Finally we give a definition of end invariants for SL(2, ℂ) characters and give a partial classification of the set of end invariants of a character in χ. © 2005 American Mathematical Society. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1090/S1079-6762-05-00153-8 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1090/S1079-6762-05-00153-8 | |
dc.description.sourcetitle | Electronic Research Announcements of the American Mathematical Society | |
dc.description.volume | 11 | |
dc.description.page | 103-110 | |
dc.identifier.isiut | 000234180800003 | |
Appears in Collections: | Staff Publications |
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