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Seminar

Gauge Theory (Semi)-Virtual Seminar: GTV - The Knot Complement Problem for Nullhomotopic Knots October 03, 2022 (11:30 AM PDT - 12:30 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Aliakbar Daemi (Washington University)
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Gauge Theory (Semi)-Virtual Seminar: GTV - The Knot Complement Problem For Nullhomotopic Knots

Abstract/Media

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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Gauge Theory (Semi)-Virtual Seminar: GTV - The Knot Complement Problem For Nullhomotopic Knots