We prove that the group of equivariant concordance of directed strongly invertible knots, defined by Sakuma (On strongly invertible knots, Algebraic and topological theories (Kinosaki, 1984), Kinokuniya Company Ltd., Tokyo, 1986, pp. 176–196), is not abelian. We do so by exhibiting an infinite family of non-trivial commutators.
The equivariant concordance group is not abelian
Di Prisa, Alessio
2022
Abstract
We prove that the group of equivariant concordance of directed strongly invertible knots, defined by Sakuma (On strongly invertible knots, Algebraic and topological theories (Kinosaki, 1984), Kinokuniya Company Ltd., Tokyo, 1986, pp. 176–196), is not abelian. We do so by exhibiting an infinite family of non-trivial commutators.File in questo prodotto:
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