Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/242960
Title: | Weakly positive and directed Anosov representations | Authors: | Kim, Sungwoon Tan, Ser Peow Zhang, Tengren |
Keywords: | math.GT math.GT math.DG 57M60, 20E05 |
Issue Date: | 6-Aug-2020 | Citation: | Kim, Sungwoon, Tan, Ser Peow, Zhang, Tengren (2020-08-06). Weakly positive and directed Anosov representations. ScholarBank@NUS Repository. | 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. | URI: | https://scholarbank.nus.edu.sg/handle/10635/242960 | ISSN: | 0001-8708 1090-2082 |
Appears in Collections: | Staff Publications Elements |
Show full item record
Files in This Item:
File | Description | Size | Format | Access Settings | Version | |
---|---|---|---|---|---|---|
2008.02424v3.pdf | 1.92 MB | Adobe PDF | CLOSED | None |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.