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Finite Group Actions on Prism Manifolds

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John Kaliongis, Saint Louis University

  • Topology Seminar
When Fri, Nov 02, 2012
from 11:00 AM to 11:50 AM
Where Ritter Hall 316
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Abstract. I will begin by defining a prism manifold M and the two ways that such a manifold can be S1-fibered. These manifolds have an imbeddded Heegaard Klein bottle. We consider the classification, up to equivalence, of all finite group actions which operate on M and preserve a Heegaard Klein bottle K. These actions are completely determined by their restrictions to K, and any such action is found to be isomorphic to either Zm, Z2 ×Z2m, Dih(Zm) or Dih(Z2 ×Z2m). In addition, we will consider fiber-preserving actions and the question of when such actions leave a Heegaard Klein bottle invariant.

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