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Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract

 

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Opened Access Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract
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Author: Brendel, Piotr
Dlotko, Pawel
Ellis, Graham
Juda, Mateusz
Mrozek, Marian
Date: 2015
Published in: Image-A : Applicable Mathematics in Image Engineering, 4 (7)
Document type: Article
Abstract: 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.
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URI: http://hdl.handle.net/11441/26557

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