22 citations · 57 across the 9 of their papers we have counts for
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math.GT1999
Knot Concordance and Torsion
Charles Livingston, Swatee Naik
Let K be a knot in the 3-sphere with 2-fold branched covering space M. If for some prime p congruent to 3 mod 4 the p-torsion in the first homology of M is cyclic with odd exponent…
math.GT1999★ 3 cited
A move on diagrams that generates S-equivalence of knots
Swatee Naik, Theodore Stanford
Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It…
hep-th1999★ 7 cited
Computation of Lickorish's Three Manifold Invariants using Chern-Simons Theory
P. Ramadevi, Swatee Naik
It is well known that any three-manifold can be obtained by surgery on a framed link in . Lickorish gave an elementary proof for the existence of the three-manifold invariants…