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Low Dimensional Topology |
| August 11, 2008 to August 15, 2008 |
| Organized By: Elisenda Grigsby, Rob Schneiderman, Peter Teichner and Kevin Walker |
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| Return to Workshop Description |
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Broken Lefschetz fibrations on smooth 4-manifolds
Tuesday August 12, 2008
01:30PM - 02:30PM
Speakers:
Denis Auroux
Abstract:
A broken fibration is a map from a smooth 4-manifold to S^2 with two types of singularities: isolated Lefschetz-type singularities (complex Morse singularity), and indefinite fold singularities along circles. These structures provide an interesting new way to think about closed oriented smooth 4-manifolds. In this talk, we will attempt to survey various results about broken fibrations, in particular: existence results and constructions; "wrinkled" fibrations and moves on them; the "Lagrangian matching invariants" defined by Perutz and their conjectured relations to 3- and 4-manifold invariants.
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