Geodesic
Invariants of homotopy classes of curves and graphs on $2$-surfaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 89-105

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Algebraic objects arising from the study of curves and graphs on $2$-surfaces are studied. Their homotopy invariance is verified. 
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     author = {V. O. Manturov and D. A. Fedoseev},
     title = {Invariants of homotopy classes of curves and graphs on $2$-surfaces},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {89--105},
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     volume = {18},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a6/}
}
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V. O. Manturov; D. A. Fedoseev. Invariants of homotopy classes of curves and graphs on $2$-surfaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 89-105. http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a6/