Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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Left-orderability in Dehn fillings of pseudo-Anosov mapping tori
For pseudo-Anosov mapping tori with co-orientable invariant foliations and monodromies reversing their co-orientations, it was previously shown that taut foliations exist on Dehn fillings with all rational slopes outside a neighborhood of the degeneracy slope. In this talk, we prove that all such Dehn fillings have left-orderable fundamental groups. As an application, combining this with other work in the literature, we verify the L-space conjecture for all surgeries on the $(-2,3,2k+1)$-pretzel knot with $k \geqslant 3$.
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