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Left-orderability and 3-manifold groups: Rothschild Lecture

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HTLW04 - Quantum topology and categorified representation theory

The fundamental group is a more or less complete invariant of a 3-dimensional manifold. We will discuss how the purely algebraic question of whether or not this group has a left-invariant total order appears to be related to two other, seemingly quite different, properties of the manifold, one geometric and the other essentially analytic.

This talk is part of the Isaac Newton Institute Seminar Series series.

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