Intersection of curves on surfaces and their applications to mapping class groups
[Intersections de courbes sur des surfaces et leurs applications aux groupes de difféotopies]
Kawazumi, Nariya ; Kuno, Yusuke
Annales de l'Institut Fourier, Tome 65 (2015), p. 2711-2762 / Harvested from Numdam
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Nous introduisons une opération qui mesure l’auto-intersection des chemins sur une surface orientée. Comme applications, nous donnons un critère de la réalisabilité d’un twist de Dehn généralisé, et nous obtenons une contrainte géométrique sur l’image des homomorphismes de Johnson.

We introduce an operation which measures the self intersections of paths on an oriented surface. As applications, we give a criterion of the realizability of a generalized Dehn twist, and derive a geometric constraint on the image of the Johnson homomorphisms.

Publié le : 2015-01-01
DOI : https://doi.org/10.5802/aif.3001
Classification:  57N05,  20F34,  32G15
Mots clés: crochet de Goldman, co-crochet de Turaev, bigèbre de Lie, groupe de difféotopies, twist de Dehn, homomorphismes de Johnson 
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     author = {Kawazumi, Nariya and Kuno, Yusuke},
     title = {Intersection of curves on surfaces and their applications to mapping class groups},
     journal = {Annales de l'Institut Fourier},
     volume = {65},
     year = {2015},
     pages = {2711-2762},
     doi = {10.5802/aif.3001},
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Kawazumi, Nariya; Kuno, Yusuke. Intersection of curves on surfaces and their applications to mapping class groups. Annales de l'Institut Fourier, Tome 65 (2015) pp. 2711-2762. doi : 10.5802/aif.3001. http://gdmltest.u-ga.fr/item/AIF_2015__65_6_2711_0/

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