Joint Los Angeles Topology Seminar

Exploring non-left-orderability in 3-manifold groups

Zipei Nie, Department of Mathematics, University of Illinois Urbana-Campaign,

In this talk, I will introduce some computational techniques for establishing non-left-orderability in various groups, including the fundamental groups of the cyclic branched covers of the pretzel knot P(3, -3, -2k-1) and certain surgeries on chainmail links. I will also briefly discuss how a computational proof of non-left-orderability can provide insights into the construction of taut foliations.

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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].