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3-Manifolds with arbitrarily high genus irreducible Heegaard splittings

Student-Run Geometry/Topology Seminar

Speaker: Marion Moore, UC Davis
Location: 2112 MSB
Start time: Thu, Mar 1 2007, 1:10PM

A natural question is whether all irreducible Heegaard splittings of a closed 3 manifold have the same genus. The answer is no. In my talk I will construct 3-manifolds which have irreducible splittings of arbitrarily high genus, and if time permits, discuss some criteria for the irreducibility of such splittings.