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Deforming reducible representations of surface and 2-orbifold groups | | Joan Porti
; | | Date: |
1 Sep 2023 | | Abstract: | For a compact 2-orbifold with negative Euler characteristic $mathcal O^2$,
the variety of characters of $pi_1(mathcal O^2)$ in $mathrm{SL}_{n}(mathbb
R)$ is a non-singular manifold at $mathbb C$-irreducible representations. In
this paper we prove that when a $mathbb C$-irreducible representation of
$pi_1(mathcal O^2)$ in $mathrm{SL}_{n}(mathbb R)$ is viewed in
$mathrm{SL}_{n+1}(mathbb R)$, then the variety of characters is singular, and
we describe the singularity. | | Source: | arXiv, 2309.00282 | | Services: | Forum | Review | PDF | Favorites | |
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