Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/242960
DC Field | Value | |
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dc.title | Weakly positive and directed Anosov representations | |
dc.contributor.author | Kim, Sungwoon | |
dc.contributor.author | Tan, Ser Peow | |
dc.contributor.author | Zhang, Tengren | |
dc.date.accessioned | 2023-07-10T01:39:34Z | |
dc.date.available | 2023-07-10T01:39:34Z | |
dc.date.issued | 2020-08-06 | |
dc.identifier.citation | Kim, Sungwoon, Tan, Ser Peow, Zhang, Tengren (2020-08-06). Weakly positive and directed Anosov representations. ScholarBank@NUS Repository. | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.issn | 1090-2082 | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/242960 | |
dc.description.abstract | Given a finitely generated group $\Gamma$, a directed graph $\Lambda$, and a map $R:\Lambda\to\Gamma$, we introduce the notion of an $(R,\Lambda)$-directed Anosov representation. This is a weakening of the notion of Anosov representations. Our main theorem gives a procedure to construct $(R,\Lambda)$-directed Anosov representations using Fock-Goncharov positivity. As an application of our main theorem, we construct large families of primitive stable representations from $F_2$ to $\mathrm{PGL}(V)$, including non-discrete and non-faithful examples. | |
dc.source | Elements | |
dc.subject | math.GT | |
dc.subject | math.GT | |
dc.subject | math.DG | |
dc.subject | 57M60, 20E05 | |
dc.type | Article | |
dc.date.updated | 2023-07-07T14:38:28Z | |
dc.contributor.department | MATHEMATICS | |
dc.published.state | Unpublished | |
Appears in Collections: | Staff Publications Elements |
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2008.02424v3.pdf | 1.92 MB | Adobe PDF | CLOSED | None |
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