3 papers
math.GT2026
Quadrangulation moves
Philipp Korablev
We prove that any two quadrangulations of the same surface, i.e., decompositions of a surface into squares, can be transformed into one another by a finite sequence of two-dimensio…
math.GT2024
Electric group for knots and links
Philipp Korablev
In 2014 Andrey Perfiliev introduced the so-called electric invariant for non-oriented knots. This invariant was motivated by using Kirchhoff's laws for the dual graph of the knot d…
math.GT2024
Pentagon relation and Biedenharn-Elliott identity
Philipp Korablev
The main subject of the paper is the pentagon relation. This relation can be expressed in different ways. We start with the natural geometric form of the pentagon relation. Then we…