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Joshi, Sahil; Negi, Komal; Prabhakar, Madeti
Topology and its applications, 04/2023, Volume: 329Journal Article
In this paper, we derive formulae for the determinant of weaving knots W(3,n) and W(p,2). We calculate the dimension of the first homology group with coefficients in Z3 of the double cyclic cover of the 3-sphere S3 branched over W(3,n) and W(p,2) respectively. As a consequence, we obtain a lower bound of the unknotting number of W(3,n) for certain values of n.
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