Rendiconti del Seminario Matematico della Università di Padova


Full-Text PDF (277 KB) | Metadata | Table of Contents | RSMUP summary
Volume 125, 2011, pp. 157–171
DOI: 10.4171/RSMUP/125-10

Tropical Open Hurwitz Numbers

Benoît Bertrand[1], Erwan Brugallé[2] and Grigory Mikhalkin[3]

(1) Institut de Mathématiques, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse CEDEX 9, France
(2) Centre Mathématiques Laurent Schwartz, Ecole Polytechnique, 91128, Palaiseau CEDEX, France
(3) Section de Mathématiques, Université de Genève, 2-4, rue du Lièvre, C.P. 64, 1211, Genève 4, Switzerland

We give a tropical interpretation of Hurwitz numbers extending the one discovered in [CJM]. In addition we treat a generalization of Hurwitz numbers for surfaces with boundary which we call open Hurwitz numbers.

No keywords available for this article.

Bertrand Benoît, Brugallé Erwan, Mikhalkin Grigory: Tropical Open Hurwitz Numbers. Rend. Sem. Mat. Univ. Padova 125 (2011), 157-171. doi: 10.4171/RSMUP/125-10