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Unformatted text preview: is a Lie group, determine its dimension. Prove that SU(2) is diffeomorphic to 3 the 3dimensional sphere S . Exercise 84. Which surface shall we get from the classification list if we glue to the sphere k > 1 M o bius bands and l handles? Exercise 85. Let P be a complex polynomial of degree k having k different 2 roots. Consider the subset of C defined by 2 l M = {(z,w) e C : z = P(w)}. Show that M is diffeomorphic to a sphere with g handles with N points omitted. Express g and N in terms of k and l. 10...
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This note was uploaded on 01/08/2012 for the course MATH 203 taught by Professor Sedita during the Spring '09 term at SUNY Stony Brook.
 Spring '09
 SEDITA

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