Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Getting dirty with foliations: Taut foliations in Dehn surgeries along positive braids: explicit constructions, examples, and strategies
Some of my past work has focused on constructing taut foliations in Dehn surgeries along positive braid knots; this work was motivated by the L-space conjecture. In this talk, I'll explain -- in a LOT of detail! -- how to construct taut foliations in r-surgery along P(-2,3,7)=K, where r <9 = 2g(K)-1. I'll explain why braids are a good tool in this setting, and also explain some implications of the construction. I will assume that you know what branched surfaces, train tracks, and taut foliations are, but I'll try not to assume much more.
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