The Stable Concordance Genus

Abstract

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.

arXiv comment11 pages, 3 figures

References in corpus (1)

• Does the Jones polynomial determine the signature of a knot?

Cited by in corpus (1)

• A Levine-Tristram invariant for knotted tori