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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.



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