Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract
Piotr Brendel, Paweł Dłotko, Graham J. Ellis, Mateusz Juda, Marian Mrożek · Deposito de Investigacion Universidad de Sevilla (University of Seville) · 2015
We present research in progress on the algorithmic computation of the fundamental group of a CW complex. We use the algorithm to compute certain algebraic invariants of the fundamental group of the complement of a knot. We show that the invariants classify the prime knots up to 13 crossings. The long term goal is an automated classification of knots in 3D images, in particular images of proteins.