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What is the Genus of Riemann Surface?

  1. Nov 19, 2011 #1
    I learnt something about genus in Topology. The concept Genus in Topology is intuitive and lucid. Now I am confronted with the Genus in Riemann Surface. I do not know what is Genus on Riemann Surface. Is it relevant to "singularity"?

    Anyone can help me make it a bit clear?
    Thanks.
     
  2. jcsd
  3. Nov 20, 2011 #2
    Same thing as genus in topology. A Riemann surface is just a topological surface with extra structure on it. It therefore has a genus.
     
  4. Nov 22, 2011 #3

    mathwonk

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    here is a set of class notes from my course on RS.
     

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