On the concordance genus of topologically slice knots

Preprint English OPEN
Hom, Jennifer;
(2012)
  • Subject: 57M25, 57N70, 57R58 | Mathematics - Geometric Topology
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Geometric Topology | Astrophysics::Cosmology and Extragalactic Astrophysics

The concordance genus of a knot K is the minimum Seifert genus of all knots smoothly concordant to K. Concordance genus is bounded below by the 4-ball genus and above by the Seifert genus. We give a lower bound for the concordance genus of K coming from the knot Floer c... View more
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