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Results tagged with teichmuller-theory
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user 197544
1
vote
0
answers
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What is the topology of the Hitchin component?
Let $S$ be a closed orientable connected surface of genus $g\geq2$.
In Lie groups and Teichmüller space Hitchin shows that one of the component of $\chi(S)=\operatorname{Hom}^{+}(\pi_1(S),\operatornam …
- 563
2
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0
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92
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Two different Bers embeddings
In An Introduction to Teichmüller spaces by Imayoshi and Taniguchi, they present in section 6.1.3 the Bers embedding as a map from Teichmüller space of a Riemann surface $X$ to the space of quadratic …
- 563
15
votes
2
answers
900
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What do the components of $\operatorname{Hom}(\pi_1(S),\operatorname{SL}_n(\mathbb{R}))$ loo...
Let $S$ be a closed orientable surface of genus at least $2$. I'm interested in the connected components of $\operatorname{Hom}(\pi_1(S),\operatorname{SL}_n(\mathbb{R}))$ for $n$ at least $3$.
I know …
- 563