@inproceedings{c0470f23ad9940918f9ed55e28670b0a,
title = "Dessins, their delta-matroids and partial duals",
abstract = "Given a map M on a connected and closed orientable surface, the delta-matroid of M is a combinatorial object associated to M which captures some topological information of the embedding. We explore how delta-matroids associated to dessins d'enfants behave under the action of the absolute Galois group. Twists of delta-matroids are considered as well; they correspond to the recently introduced operation of partial duality of maps. Furthermore, we prove that every map has a partial dual defined over its field of moduli. A relationship between dessins, partial duals and tropical curves arising from the cartography groups of dessins is observed as well.",
keywords = "dessins, matroids, partial duals",
author = "Goran Malic",
year = "2016",
language = "English",
isbn = " 9783319304496",
series = "Springer Proceedings in Mathematics & Statistic",
publisher = "Springer Nature",
pages = "213--247",
editor = "{ {\v S}ir{\'a}{\v n}}, {Jozef } and { Jajcay}, { Robert }",
booktitle = "Symmetries in graphs, maps and polytopes",
address = "United States",
note = "5th Workshop SIGMAP - Symmetries In Graph, Maps And Polytopes ; Conference date: 07-07-2014 Through 11-07-2014",
}