3 papers
math.GT2026
Morse-Novikov theory for links
L. Chen, H. Endo, A. Pajitnov
For a compact 3-manifold W. Thurston introduced a norm on the first cohomology group of the manifold. The unit ball of this norm is a polyhedron and the set of cohomology class…
math.GT2026
Cappell-Shaneson knot pairs with the same Alexander polynomial
Hisaaki Endo, Kazunori Iwaki, Andrei Pajitnov
It is well known that for there are at most two non-equivalent -knots with diffeomorphic exterior. Such pair of knots will be called $\textit{ non-reflexive knot pair}…
math.GT2025
Cappell-Shaneson polynomials
Hisaaki Endo, Kazunori Iwaki, Andrei Pajitnov
S. Cappell and J. Shaneson constructed a pair of inequivalent embeddings of -spheres in homotopy -spheres for every square matrix of order with special properties…