2 papers
math.GT2026
A note on the knot Floer homology of freely 2-periodic knots and their quotients
Timothy Bates, Aakash Parikh
A knot P in the three-sphere is freely 2-periodic if it is preserved setwise by a free order-two action. There is a natural projective quotient knot associated to P. We establish a…
math.DS2026
Realizing Saddle-Node Bifurcations from Finite Data
Konstantin Mischaikow, Aakash Parikh
Given a finite set of data generated by an unknown ordinary differential equation it is impossible to exactly determine the associated vector field, and hence, bifurcation theory t…