Invariant ordering of groups and topology

Ito, Tetsuya

doi:10.1090/suga/436

Invariant ordering of groups and topology
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by Tetsuya Ito
Translated by: Tetsuya Ito

Sugaku Expositions 32 (2019), 1-24

DOI: https://doi.org/10.1090/suga/436

Published electronically: March 21, 2019

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Abstract:

We present several topics surrounding invariant group orderings, mainly a point of view in (low-dimensional) topology. We will discuss a conjectural relationship between the left-orderability of the fundamental group of 3-manifolds and topology, and applications of invariant group orderings to topology.

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