Markov's Theorem
Matteo Barucco, Nirvana Coppola
TL;DR
This paper provides a detailed proof of Markov's Theorem, elaborating on braid and link theory concepts, based on established mathematical texts, as part of an academic course in knot theory.
Contribution
It offers a comprehensive, detailed proof of Markov's Theorem, integrating insights from Birman's and Petronio's works, tailored for educational purposes.
Findings
Detailed proof of Markov's Theorem
Clarification of braid and link relationships
Educational resource for knot theory
Abstract
This survey consists of a detailed proof of Markov's Theorem based on Joan Birman's book "Braids, Links, and Mapping Class Groups" and Carlo Petronio's classes. It was part of an exam project in A.Y. 2016/2017 for the course Knot Theory.
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Taxonomy
TopicsDigital Image Processing Techniques · semigroups and automata theory · Computational Geometry and Mesh Generation