Knot reversal acts non-trivially on the concordance group of topologically slice knots
نویسندگان
چکیده
We construct an infinite family of topologically slice knots that are not smoothly concordant to their reverses. More precisely, if $$\mathcal {T}$$ denotes the concordance group and $$\rho $$ is involution induced by string reversal, then {T}/ \text {Fix}(\rho )$$ contains infinitely generated free subgroup. The result remains true modulo subgroup with trivial Alexander polynomial.
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ژورنال
عنوان ژورنال: Selecta Mathematica-new Series
سال: 2022
ISSN: ['1022-1824', '1420-9020']
DOI: https://doi.org/10.1007/s00029-021-00751-1