22 citations · 57 across the 9 of their papers we have counts for
10 papers
Periodic knots and Heegaard Floer correction terms
Stanislav Jabuka, Swatee Naik
We derive new obstructions to periodicity of classical knots by employing the Heegaard Floer correction terms of the finite cyclic branched covers of the knots. Applying our result…
Stabilizing Four-Torsion in Classical Knot Concordance
Charles Livingston, Swatee Naik
Let be the 2-fold branched cover of a knot S^3H_1(M_K) = {\bf Z}_3 \oplus {\bf Z}_{3^{2i}} \oplus GGK$ is not of…
Order in the concordance group and Heegaard Floer homology
Stanislav Jabuka, Swatee Naik
We use the Heegaard-Floer homology correction terms defined by Ozsváth--Szabó to formulate a new obstruction for a knot to be of finite order in the smooth concordance group. This…
Ozsvath-Szabo and Rasmussen invariants of doubled knots
Charles Livingston, Swatee Naik
Let νbe any integer-valued additive knot invariant that bounds the smooth 4-genus of a knot K, |ν(K)| <= g_4(K), and determines the 4-ball genus of positive torus knots, ν(T_{p,q})…
Twisted Alexander polynomials of periodic knots
Jonathan A Hillman, Charles Livingston, Swatee Naik
Murasugi discovered two criteria that must be satisfied by the Alexander polynomial of a periodic knot. We generalize these to the case of twisted Alexander polynomials. Examples d…
Alexander polynomials of equivariant slice and ribbon knots in S^3
James F. Davis, Swatee Naik
This paper gives an algebraic characterization of Alexander polynomials of equivariant ribbon knots and a factorization condition satisfied by Alexander polynomials of equivariant…