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Toward a PL Theory of Higher Index Minimal Surfaces.
Geometry/Topology| Speaker: | David Bachman, UT Austin |
| Location: | 693 Kerr |
| Start time: | Wed, Jan 20 1999, 4:10PM |
Description
In this talk I will give a complete description of the theory of
Index 1 PL minimal surfaces (i.e. almost normal), including applications
to problems involving Dehn surgery, Heegaard splittings, and bridge
position for knots. I will then go on to describe a recent approach to the
theory of Index 2 PL minimal surfaces, which may be the key to unlocking
some unanswered algorithmic questions concerning the Topology of
3-manifolds. This latter work is joint with H. Rubinstein and M.
Scharlemann.