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Homeomorphisms and disjoint curves on a surface

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Larry Granda, SLU

  • Topology Seminar
When Tue, May 02, 2006
from 03:10 PM to 04:00 PM
Where RH 222
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Abstract: We show that a matrix A in SL(2g, Z) is induced by an orientation preserving homeomorphism phi:Fg --> Fg of a closed orientable surface of genus g if and only if A preserves the intersection product. We then give conditions for when a collection of homology classes in H1(Fg) may be represented by a collection of pairwise disjoint simple closed curves on Fg.

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