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On the construction of knots and links from Thompson’s groups. (English) Zbl 1423.57013
Adams, Colin C. (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016. Cham: Springer. Springer Proc. Math. Stat. 284, 43-66 (2019).
Summary: We review recent developments in the theory of Thompson group representations related to knot theory.
For the entire collection see [Zbl 1419.57001].
##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010) 57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes 57M27 Invariants of knots and $$3$$-manifolds (MSC2010) 20F36 Braid groups; Artin groups 20F38 Other groups related to topology or analysis 22D10 Unitary representations of locally compact groups
##### Keywords:
Thompson group; knot; link; braid; representation; skein theory
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