Tropical Open Hurwitz numbers
By Benoît Bertrand, Erwan Brugallé, G. Mikhalkin. 2010
58 citations recorded by the source corpus.
We give a tropical interpretation of Hurwitz numbers extending the one discovered in \cite{CJM}. In addition we treat a generalization of Hurwitz numbers for surfaces with boundary which we call open Hurwitz numbers.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/168a7322bb9f78e978c8290c6bc080785d7262cf
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In Algebra and Number Theory
- Matthew Baker
- Omid Amini
- Joseph Rabinoff
- Helge Ruddat
- Travis Mandel
- Erwan Brugallé
- David Jensen
- Lucia Caporaso
In Computational Theory and Mathematics
- Matthew Baker
- Omid Amini
- Joseph Rabinoff
- Erwan Brugallé
- David Jensen
- Helge Ruddat
- Travis Mandel
- Sam Payne
In Geometry and Topology
- Matthew Baker
- Omid Amini
- Joseph Rabinoff
- Erwan Brugallé
- David Jensen
- Helge Ruddat
- Travis Mandel
- Sam Payne
Citations in the corpus
- Lifting harmonic morphisms II: tropical curves and metrized complexes (2014, methodology): “The definition of effective harmonic morphisms of augmented metric graphs that we use is the same as in [Bertrand et al. 2011].”
- Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (2013, unknown): “Realizability and enumeration, forthcoming) for more details (see also [17] where this statement is implicit, as well as Corollary II.”
- Descendant log Gromov-Witten invariants for toric varieties and tropical curves (2016, methodology): “orrespondence theorem of [BBBM15] as a corollary of that. We have not yet thought through whether or not we can obtain sufficient generality to recover the very general Hurwitz correspondence result of [BBM11] since our focus has been on toric varieties as target spaces. 5.3. Applications motivated by”