3 papers
math.GT2026
Average signature and 4-genus of 2-bridge knots
Moshe Cohen, Adam M. Lowrance, Neal Madras +1
We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number approaches . Baader, Kjuchukova, Lewark, Misev,…
math.GT2026
A central limit theorem for the signatures of 2-bridge knots
Cody Baker, Moshe Cohen, Henry Dam +4
Cohen, Lowrance, Madras, and Raanes computed the average (absolute value of) signature over all 2-bridge knots with crossing number by introducing the number of 2-bri…
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…