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Morse functions, Heegaard splittings and circle-valued Morse functions

Student-Run Geometry/Topology Seminar

Speaker: Fabiola Manjarrez-Gutierrez, UC Davis
Location: 3106 MSB
Start time: Tue, Jan 29 2008, 1:10PM

I will explain the relationship between real Morse functions on 3-manifolds and handle decompositions, as well as how this structure relates with Heegard splittings and generalized Heegaard splittings. If time permits I will introduce circle-valued Morse functions on knot exteriors in S^3, and try to show why they are interesting.