JournalsrsmupVol. 125pp. 157–171

Tropical Open Hurwitz Numbers

  • Benoît Bertrand

    Université Paul Sabatier, Toulouse, France
  • Erwan Brugallé

    Ecole Polytechnique, Palaiseau, France
  • Grigory Mikhalkin

    Université de Genève, Switzerland
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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