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math.GT2025
Average crosscap number of a 2-bridge knot
Moshe Cohen, Thomas Kindred, Adam M. Lowrance +2
We determine a simple condition on a particular state graph of an alternating knot or link diagram that characterizes when the unoriented genus and crosscap number coincide, extend…
math.GT2020
Crosscap number and epimorphisms of two-bridge knot groups
Jim Hoste, Patrick D. Shanahan, Cornelia A. Van Cott
We consider the relationship between the crosscap number of knots and a partial order on the set of all prime knots, which is defined as follows. For two knots and , we…
math.GT2009★ 3 cited
An obstruction to slicing iterated Bing doubles
Cornelia A. Van Cott
Let K be a knot in S^3. We study the iterated Bing doubles of K, giving a new proof for the following statement: If BD_n(K) is slice for some n, then K is algebraically slice. This…