Allison H. Moore

activity

20122023

most citedDistance one lens space fillings and band surgery on the trefoil knot

13 citations · 38 across the 13 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.GT2022

Determinants of Simple Theta Curves and Symmetric Graphs

Matthew Elpers, Rayan Ibrahim, Allison H. Moore

A theta curve is a spatial embedding of the $θ$ -graph in the three-sphere, taken up to ambient isotopy. We define the determinant of a theta curve as an integer-valued invariant ar…

math.GT2022

Primality of theta-curves with proper rational tangle unknotting number one

Kenneth L. Baker, Dorothy Buck, Danielle O'Donnol +2

We show that if a composite $θ$ -curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial $θ$ -cu…