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Homotopy theory, homological algebra, algebraic treatments of manifolds.

0 votes
1 answer
485 views

What is a right-handed Dehn twist of a cut curve of a Riemann surface?

Let $\Sigma_g$ be a Riemann surface of genus g, and $C$ is a cut curve of $\Sigma_g$, i.e. an oriented simple close curve. What is a right-handed Dehn twist of $C$ of $\Sigma_g$?
Jun Lu's user avatar
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11 votes
0 answers
561 views

How to get a Dehn-twist presentation of a periodic map of a Riemann surface?

Let $f:S\to S$ be a given periodic map of order $n$, and $(m_i,\lambda_i, \sigma_i)$ be the valency of the multiple point $p_i$ of $f$ ( $i=1,\cdots,r$ ). A classical result says such $f$ is isotop …
Jun Lu's user avatar
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