The Stable Concordance Genus

Preprint English OPEN
Kearney, M. Kate (2013)
  • Subject: Mathematics - Geometric Topology
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Geometric Topology | Astrophysics::Cosmology and Extragalactic Astrophysics

The concordance genus of a knot is the least genus of any knot in its concordance class. Although difficult to compute, it is a useful invariant that highlights the distinction between the three-genus and four-genus. In this paper we define and discuss the stable concordance genus of a knot, which describes the behavior of the concordance genus under connected sum.
  • References (1)

    L + [9] Rolfsen, D. Knots and Links, vol. 7 of Mathematics Lecture Series. Publish or Perish Inc., Houston, TX, 1990. Corrected reprint of the 1976 original.

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