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Low complexity Heegaard splittings
Geometry/Topology| Speaker: | Chris Jerdonek, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Dec 5 2001, 4:10PM |
Description
It's easy to define different measures of complexity for
3-manifolds. For this talk we'll define the complexity of
a Heegaard splitting to be the minimal intersection number
between two essential discs, one on either side of the
splitting surface. What can be said about this measure
of complexity? For genus two splittings we'll enumerate
some simpler manifolds and relate this complexity to the
hyperbolic volume.