What is the Genus of Riemann Surface?

  • Thread starter yicong2011
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  • #1
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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.
 

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  • #2
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Same thing as genus in topology. A Riemann surface is just a topological surface with extra structure on it. It therefore has a genus.
 
  • #3
mathwonk
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here is a set of class notes from my course on RS.
 

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