2 papers
math.GT2006
Concordance Crosscap Number of a Knot
Gengyu Zhang
We define the concordance crosscap number of a knot as the minimum crosscap number among all the knots concordant to the knot. The four-dimensional crosscap number is the minimum f…
math.GT2006
Crosscap Numbers of Two-component Links
Gengyu Zhang
We define the crosscap number of a 2-component link as the minimum of the first Betti numbers of connected, non-orientable surfaces bounding the link. We discuss some properties of…