2013/10/09 by Mary‐Carmel Kearney, Kearney, M. Kate
Mathematics · Computer Science · #Geometric and Algebraic Topology #Natural Language Processing Techniques #Logic, Reasoning, and Knowledge
paper · pdf · doi:10.48550/arxiv.1310.2513
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.