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I am preparing for my qualifying exams. There is an algebraic topology problem I don't know how to do it. Thanks a lot for your help.

Let $\Sigma_{g,p}$ denote the surface of genus $g$ with $p$ punctures. For what $g,p$ does $\Sigma_{g,p}$ cover $\Sigma_{3,2}$?

I know how to do this problem without punctures. Have no idea how to deal with the punctures.

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    Were you able to find a reference for these kinds of problems? I am also studying for qual exams and I'm not sure how to solve this, and I've seen these types of questions on several of the previous exams.2015-07-14

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