Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Gauge Theory (Semi)-Virtual Seminar: GTV - The Knot Complement Problem For Nullhomotopic Knots
To participate in this seminar, please register HERE.
In their celebrated work, Gordon and Luecke proved that knots in the three-dimensional sphere are determined by their complements. Subsequently, Boileau asked whether the same result holds for null-homotopic knots in arbitrary 3-manifolds. In this talk, I will discuss a program to answer this question. In particular, I will explain how one can give an affirmative answer to Boileau's question for arbitrary knots in some families of 3-manifolds including any connected sum of Brieskorn homology spheres. This is joint work with Tye Lidman.
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