Geodesic
Modular operads of embedded curves
Kondo, Satoshi1 ; Siegel, Charles2 ; Wolfson, Jesse3
1 Faculty of Mathematics, Higher School of Economics, National Research University, 6 Usacheva Str., Moscow, 119048, Russia
2 Pacific Northwest National Laboratory, 902 Battelle Blvd, Richland, WA 99354, United States
3 Department of Mathematics, University of Chicago, 5734 S University Ave., Chicago, IL 60637, United States
Geometry & topology, Tome 21 (2017) no. 2, pp. 903-922.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

For each k ≥ 5, we construct a modular operad ℰ¯k of “k–log-canonically embedded” curves. We also construct, for k ≥ 2, a stable cyclic operad ℰ¯ck of such curves, and, for k ≥ 1, a cyclic operad ℰ¯0,ck of “k–log-canonically embedded” rational curves.

DOI : 10.2140/gt.2017.21.903
Classification : 14H10, 18D50
Keywords: modular operad, log-canonical Hilbert scheme

Kondo, Satoshi 1 ; Siegel, Charles 2 ; Wolfson, Jesse 3

1 Faculty of Mathematics, Higher School of Economics, National Research University, 6 Usacheva Str., Moscow, 119048, Russia
2 Pacific Northwest National Laboratory, 902 Battelle Blvd, Richland, WA 99354, United States
3 Department of Mathematics, University of Chicago, 5734 S University Ave., Chicago, IL 60637, United States 
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Kondo, Satoshi; Siegel, Charles; Wolfson, Jesse. Modular operads of embedded curves. Geometry & topology, Tome 21 (2017) no. 2, pp. 903-922. doi : 10.2140/gt.2017.21.903. http://geodesic.mathdoc.fr/articles/10.2140/gt.2017.21.903/

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