Maciej Borodzik

collaborators

2 papers

math.GT2026

Non-determinacy of HOMFLY-PT homology for diagrams

Maciej Borodzik, Mikhail Malashchuk

We show that for any two knots $K_{1}$ , $K_{2}$ in $R^{3}$ , there exist diagrams $D_{1}$ and $D_{2}$ that represent $K_{1}$ and $K_{2}$ , respectively, such that the Khovanov--Rozansky t…

math.GT2024

Merging boundary critical points of a Morse function

Maciej Borodzik, Marcin Mielniczuk

In 2015, Borodzik, NÃ©methi and Ranicki proved that an interior critical point can be pushed to the boundary, where it splits into two boundary critical points. In this paper, we s…