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==articles== | ==articles== | ||
| + | * Planat, Michel, and Hishamuddin Zainuddin. “Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation.” arXiv:1601.04865 [math-Ph, Physics:quant-Ph], January 19, 2016. http://arxiv.org/abs/1601.04865. | ||
* Hilany, Boulos El. “Counting Positive Intersection Points of a Trinomial and a $\mathbf{T}$-Nomial Curves via Groethendieck’s Dessin D’enfant.” arXiv:1512.05688 [math], December 17, 2015. http://arxiv.org/abs/1512.05688. | * Hilany, Boulos El. “Counting Positive Intersection Points of a Trinomial and a $\mathbf{T}$-Nomial Curves via Groethendieck’s Dessin D’enfant.” arXiv:1512.05688 [math], December 17, 2015. http://arxiv.org/abs/1512.05688. | ||
* Wang, Na-Er, Roman Nedela, and Kan Hu. “Totally Symmetric Dessins with Nilpotent Automorphism Groups of Class Three.” arXiv:1511.06863 [math], November 21, 2015. http://arxiv.org/abs/1511.06863. | * Wang, Na-Er, Roman Nedela, and Kan Hu. “Totally Symmetric Dessins with Nilpotent Automorphism Groups of Class Three.” arXiv:1511.06863 [math], November 21, 2015. http://arxiv.org/abs/1511.06863. | ||
2016년 1월 20일 (수) 01:16 판
introduction
- Grothendieck's theory of dessins provides a bridge between algebraic numbers and combinatorics
memo
- http://www.neverendingbooks.org/index.php/kleins-dessins-denfant-and-the-buckyball.html
- http://www.neverendingbooks.org/index.php/permutation-representations-of-monodromy-groups.html
encyclopedia
books
- Guralnick, Robert M., and John Shareshian. 2007. Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points. American Mathematical Soc.
- Schneps, Leila, ed. 1994. The Grothendieck Theory of Dessins D’enfants. Vol. 200. London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press. http://www.ams.org/mathscinet-getitem?mr=1305390.
expositions
- Cueto, Moises Herradon. “The Field of Moduli and Fields of Definition of Dessins D’enfants.” arXiv:1409.7736 [math], September 26, 2014. http://arxiv.org/abs/1409.7736.
- Planat, Michel. “Drawing Quantum Contextuality with ‘Dessins D’enfants’.” arXiv:1404.6986 [math-Ph, Physics:quant-Ph], April 28, 2014. http://arxiv.org/abs/1404.6986.
- Jones, Dessins d'enfants: bipartite maps and Galois groups
- Eriksson, Galois theory of Covers
- Robalo, Galois Theory towards Dessins d'Enfants, masters thesis
- Introduction to Dessins d'Enfants, undergraduate research program
articles
- Planat, Michel, and Hishamuddin Zainuddin. “Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation.” arXiv:1601.04865 [math-Ph, Physics:quant-Ph], January 19, 2016. http://arxiv.org/abs/1601.04865.
- Hilany, Boulos El. “Counting Positive Intersection Points of a Trinomial and a $\mathbf{T}$-Nomial Curves via Groethendieck’s Dessin D’enfant.” arXiv:1512.05688 [math], December 17, 2015. http://arxiv.org/abs/1512.05688.
- Wang, Na-Er, Roman Nedela, and Kan Hu. “Totally Symmetric Dessins with Nilpotent Automorphism Groups of Class Three.” arXiv:1511.06863 [math], November 21, 2015. http://arxiv.org/abs/1511.06863.
- Cueto, Moisés Herradón. “An Explicit Quasiplatonic Curve with Field of Moduli $\mathbb Q(\sqrt[3]{2})$.” arXiv:1509.05819 [math], September 18, 2015. http://arxiv.org/abs/1509.05819.
- Fine, Jonathan 2015Bias and Dessins. arXiv:1506.06389 [math]. http://arxiv.org/abs/1506.06389, accessed July 11, 2015.
- Beffara, Vincent. ‘Dessins D’enfants for Analysts’. arXiv:1504.00244 [math], 1 April 2015. http://arxiv.org/abs/1504.00244.
- Bose, Sownak, James Gundry, and Yang-Hui He. “Gauge Theories and Dessins d’Enfants: Beyond the Torus.” arXiv:1410.2227 [hep-Th], October 8, 2014. http://arxiv.org/abs/1410.2227.
- Guillot, Pierre. 2014. “Some Computations with the Grothendieck-Teichm"uller Group and Equivariant Dessins D’enfants.” arXiv:1407.3112 [math], July. http://arxiv.org/abs/1407.3112.
- Kazarian, Maxim, and Peter Zograf. 2014. “Virasoro Constraints and Topological Recursion for Grothendieck’s Dessin Counting.” arXiv:1406.5976 [math], June. http://arxiv.org/abs/1406.5976.