Tropical Open Hurwitz Numbers

Benoît Bertrand; Erwan Brugallé; Grigory Mikhalkin

doi:10.4171/rsmup/125-10

JournalsrsmupVol. 125pp. 157–171

Tropical Open Hurwitz Numbers

Benoît Bertrand
Université Paul Sabatier, Toulouse, France
- MathSciNet
- zbMATH Open
Erwan Brugallé
Ecole Polytechnique, Palaiseau, France
Grigory Mikhalkin
Université de Genève, Switzerland
- MathSciNet
- zbMATH Open

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Abstract

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.

Cite this article

Benoît Bertrand, Erwan Brugallé, Grigory Mikhalkin, Tropical Open Hurwitz Numbers. Rend. Sem. Mat. Univ. Padova 125 (2011), pp. 157–171

DOI 10.4171/RSMUP/125-10