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math.RA2021
Garside Theory: a Composition--Diamond Lemma Point of View
Viktor Lopatkin
This paper shows how to obtain the key concepts and notations of Garside theory by using the Composition--Diamond lemma. We also show in some cases the greedy normal form is exactl…
math.GT2021★ 4 cited
Circle graphs (chord interlacement graphs) of Gauss diagrams: Descriptions of realizable Gauss diagrams, algorithms, enumeration
Abdullah Khan, Alexei Lisitsa, Viktor Lopatkin +1
Chord diagrams, under the name of Gauss diagrams, are used in low-dimensional topology as an important tool for studying curves or knots. Those Gauss diagrams that correspond to cu…