Mdtop April 2015

mdtop@mathdept.okstate.edu

2 participants
4 discussions

Kenji Kozai visiting
by Henry Segerman 22 Apr '15

22 Apr '15

Kenji Kozai will be visiting from Berkeley this Thursday and Friday. Let me know if you would like to join us for lunch on Thursday. Kenji will speak in the topology seminar on Thursday: Hyperbolic structures from Sol Abstract: Thurston's hyperbolization theorem states that the mapping torus of a surface homeomorphism is a hyperbolic 3-manifold if and only if the homeomorphism is pseudo-Anosov. On the other hand, the stretch-squeeze dynamics of the pseudo-Anosov define a natural (singular) Sol metric on the mapping torus, where the singular locus is the orbit of the singular points of the stable and unstable foliations. In the case where the surface is a punctured torus, it is known from results of Hodgson and Heusener-Porti-Suarez that the Sol structure can be obtained as a rescaled limit of hyperbolic cone structures -- in other words, hyperbolic structures can be regenerated from Sol. Using different methods, the result is generalized to pseudo-Anosov maps on higher complexity surfaces, as long as the invariant foliations of the pseudo-Anosov are orientable and the first Betti number of the mapping torus is 1.

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Topology Seminar Today
by Odonnol, Danielle 16 Apr '15

16 Apr '15

Hello, Just a reminder we will have Pengcheng Xu speaking in Topology Seminar this afternoon. Title: P-moves between pants block decompositions of 3-manifolds Room: MSCS 514 Time: 3:30

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Seminar time change
by Henry Segerman 08 Apr '15

08 Apr '15

Pengcheng Xu's talk will now be next week, April 16th, 3:30pm MSCS 514.

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Reminder: Ken Baker speaking today, MSCS 514 at 4pm
by Henry Segerman 06 Apr '15

06 Apr '15

Title: Unifying unexpected exceptional Dehn surgeries Abstract: In summer 2014, Dunfield-Hoffman-Licata produced examples of asymmetric, hyperbolic, 1-cusped 3-manifolds with pairs of lens space Dehn fillings through a search of the extended SnapPea census. Examinations of these examples with Hoffman and Licata lead us to coincidences with other work in progress that gives a simple holistic topological approach towards producing and extending many of these families. In this talk we'll explicitly describe our construction and discuss related applications of the technique.

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Mdtop April 2015