activity
19982026
most citedOn the tunnel number and the Morse-Novikov number of knots

10 citations · 32 across the 16 of their papers we have counts for

collaborators

18 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…

math.GT2019★ 1 cited

On the Conical Novikov Homology

A. Pajitnov

Let be a Morse form on a manifold . Let be a regular covering with structure group , such that . Let be the corresponding p…

math.DG2019

On a generalization of Inoue and Oeljeklaus-Toma manifolds

Hisaaki Endo, Andrei Pajitnov

In this paper we construct a family of complex analytic manifolds that generalize Inoue surfaces and Oeljeklaus-Toma manifolds. To a matrix in satisfying som…

math.DG2019★ 2 cited

On generalized Inoue manifolds

Hisaaki Endo, Andrei Pajitnov

This paper is about a generalization of famous Inoue's surfaces. Let be a matrix in having only one real eigenvalue which is simple. We associate to a…