Geodesic
Classification of curves on surfaces and free links via homotopy theory of words and phrases
Journal of Singularities, Tome 6 (2012), pp. 37-53

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In this paper, we introduce Turaev's homotopy theory of words and phrases. As new results, we give the classification of oriented ordered pointed irreducible multi-component curves on surfaces which is called monoliteral type with at most six crossings up to stably equivalence using Turaev's homotopy theory of words and phrases. Moreover we also give the classification of (oriented) ordered pointed irreducible free links of monoliteral type with at most six crossings.
DOI : 10.5427/jsing.2012.6e
Classification : 
@article{10_5427_jsing_2012_6e,
     author = {Tomonori Fukunaga},
     title = {Classification of curves on surfaces and free links via homotopy theory of words and phrases},
     journal = {Journal of Singularities},
     pages = {37--53},
     publisher = {mathdoc},
     volume = {6},
     year = {2012},
     doi = {10.5427/jsing.2012.6e},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6e/}
}
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Tomonori Fukunaga. Classification of curves on surfaces and free links via homotopy theory of words and phrases. Journal of Singularities, Tome 6 (2012), pp. 37-53. doi: 10.5427/jsing.2012.6e

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