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A new invariant of equivariant concordance and results on 2-bridge knots

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arxiv 2303.08794 v2 pith:U5RTQJVI submitted 2023-03-15 math.GT

Alessio Di Prisa , Giovanni Framba This is my paper · ORCID
classification math.GT
keywords concordanceequivariantknotsinvarianttwo-bridgealwaysbridgebutterfly
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We study the equivariant concordance classes of two-bridge knots, providing an easy formula to compute their butterfly polynomial, and we give two different proofs that no two-bridge knot is equivariantly slice. Finally, we introduce a new invariant of equivariant concordance for strongly invertible knots. Using this invariant as an obstruction we strengthen the result on two-bridge knots, proving that their equivariant concordance order is always infinite.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Involutive Khovanov homology and equivariant knots II

    math.GT 2026-08 conditional novelty 7.0 of 10

    An improved tangle algorithm computes involutive Khovanov invariants and shows the Whitehead doubles of two pretzel knots carry an equivariant Rasmussen invariant (0,2), yielding new exotic slice disk pairs.

  2. Equivariant Q-sliceness of strongly invertible knots

    math.GT 2024-12 conditional novelty 5.0 of 10

    The paper introduces equivariant Q-sliceness for strongly invertible knots, proves Klein amphichiral knots are equivariant Q-slice in a single Q-homology 4-ball, and shows Alexander polynomial squareness obstructs it.

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