2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.GT2020★ 2 cited
An infinite family of counterexamples to Batson's conjecture
Vincent Longo
Batson's conjecture is a non-orientable version of Milnor's conjecture, which states that the 4-ball genus of a torus knot is equal to . Batson's con…
math.GT2019
On 2-knots and connected sums with projective planes
Vincent Longo
In this paper, we generalize a result of Satoh to show that for any odd natural , the connected sum of the -twist spun sphere of a knot and an unknotted projective plane…
math.GT2017
State invariants of two-bridge knots
Cynthia L. Curtis, Vincent Longo
In this paper, we consider generalizations of the Alexander polynomial and signature of 2-bridge knots by considering the Gordon-Litherland bilinear forms associated to essential s…