Dessins, their delta-matroids and partial duals

@inproceedings{Malic2014DessinsTD,
  title={Dessins, their delta-matroids and partial duals},
  author={Goran Mali'c},
  booktitle={SIGMAP 2016},
  year={2014}
}
  • Goran Mali'c
  • Published in SIGMAP 2014
  • Mathematics, Computer Science
Given a map \(\mathcal M\) on a connected and closed orientable surface, the delta-matroid of \(\mathcal M\) is a combinatorial object associated to \(\mathcal M\) which captures some topological information of the embedding. We explore how delta-matroids associated to dessins 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… Expand
1 Citations

References

SHOWING 1-10 OF 40 REFERENCES
Galois actions on regular dessins of small genera
Partial duality of hypermaps
Maps and Delta-matroids
  • A. Bouchet
  • Mathematics, Computer Science
  • Discret. Math.
  • 1989
An elementary approach to dessins d'enfants and the Grothendieck-Teichm\"uller group
Hurwitz numbers, ribbon graphs, and tropicalization
Belyi-Extending Maps and the Galois Action on Dessins d'Enfants
The Grothendieck theory of dessins d'enfants
Tropical Hurwitz numbers
On explicit descent of marked curves and maps
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