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Bin Yu
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Pseudo-Anosov map with n-prong singularity

Whether the following statemant is correct (I guess the answer is "Yes" and I guess that maybe it is trivial for an expert about Pseudo-Anosov map)?

"For a given $n\in N$, there exists a closed orientbale surface $\Sigma^n$ such that there exists a pseudo-Anosov diffeomorphism $f_n$ on $\Sigma^n$ with an $n$-prong singularity. "

Could you pleae provide me some references or comments? Thank you.

Bin Yu
  • 336
  • 1
  • 9