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This paper is a combinatorial and computational study of the moduli space of tropical curves of genus g, the moduli space of principally polarized tropical abelian varieties, and the tropical Torelli map.
G. F. Voronoï, Nouvelles applications des paramètres continus à la théorie des formes quadratiques, Deuxième Mémoire, Recherches sur les parallélloedres primitifs. Journal für die reine und angewandte Mathematik 134 (1908), 198–287 and 136 (1909), 67–181
1909
Earlier work this paper cites.
A. T. Balaban, Rev. Roumaine Chim. 15 (1970), 463
1970
Earlier work this paper cites.
A. Ash, D. Mumford, M. Rapoport, Y. Tai, Smooth compactification of locally symmetric varieties, Lie Groups: History, Frontiers and Applications, Vol. IV, Math. Sci. Press, Brookline, Mass., 1975
1975
Earlier work this paper cites.
A. T. Balaban, Enumeration of Cyclic Graphs, pp. 63-105 of A. T. Balaban, ed., Chemical Applications of Graph Theory, Ac. Press, 1976
1976
Earlier work this paper cites.
L. Gerritzen, Die Jacobi-Abbildung über dem Raum der Mumfordkurven, Math. Ann. 261 (1982), no. 1, 81–100
1982
Earlier work this paper cites.
M. Culler, K. Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math., 84(1): 91-119, 1986
1986
Earlier work this paper cites.
J. Oxley, Matroid Theory, Oxford Univ. Press, New York, 1992
1992
Earlier work this paper cites.
K. Truemper, Matroid decomposition, Academic Press, Boston, MA, 1992
1992
Earlier work this paper cites.
T. Brady, The integral cohomology of O u t + ( F 3 ) Out_{+}(F_{3}) , J. Pure and Applied Algebra 87 (1993) 123-167
1993
Cited alongside, same era.
P. Engel, The contraction types of parallelohedra in E 5 E^{5} , Acta Cryst. A 56 (2002), 491–496
2002
Cited alongside, same era.
P. Engel, V. Grishukhin, There are exactly 222 L-types of primitive five-dimensional lattices, European Journal of Combinatorics 23 (2002), 275–279
2002
Cited alongside, same era.
F. Vallentin, Sphere coverings, Lattices, and Tilings (in low dimensions). PhD Thesis, Technische Universität München, 2003
2003
Cited alongside, same era.
D. Speyer, B. Sturmfels, The tropical Grassmannian, Adv. Geom. 4 (2004), no. 3, 389-411
2004
Cited alongside, same era.
G. Mikhalkin and I. Zharkov, Tropical curves, their Jacobians and theta functions, Contemporary Mathematics 465, Proceedings of the International Conference on Curves and Abelian Varieties in honor of Roy Smith’s 65th birthday (2007), 203–231
2007
Later among the works it cites.
A. Gathmann, M. Kerber, H. Markwig, Tropical fans and the moduli spaces of tropical curves, Compos. Math. 145 (2009), no. 1, 173-195
2009
Later among the works it cites.
S. Grushevsky, The Schottky problem, Proceedings of “Classical algebraic geometry today” workshop (MSRI, January 2009), to appear
2009
Later among the works it cites.
L. Caporaso, F. Viviani, Torelli theorem for graphs and tropical curves, Duke Math. Journal 153 (2010) 129-171
2010
Closest in time.
D. Maclagan, B. Sturmfels, Introduction to Tropical Geometry, book manuscript, 2010, available at http://www.warwick.ac.uk/staff/D.Maclagan/papers/TropicalBook.pdf
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L. Borisov, L. Chen, G. Smith. The orbifold Chow ring of toric Deligne-Mumford stacks, J. Amer. Math. Soc. 18 (2005), no. 1, 193–215
2005
Cited alongside, same era.
G. Mikhalkin, Tropical geometry and its applications, International Congress of Mathematicians. Vol. II, 827-852, Eur. Math. Soc., Zürich, 2006
2006
Cited alongside, same era.
G. Mikhalkin, Moduli spaces of rational tropical curves, Proceedings of Gökova Geometry-Topology Conference 2006, 39-51, Gökova Geometry/Topology Conference (GGT), Gökova, 2007
2007
Cited alongside, same era.
L. Caporaso, Geometry of tropical moduli spaces and linkage of graphs, arXiv:1001.2815
Cited in the paper.
I. Zharkov, Tropical theta characteristics, arXiv:0712.3205v2
Cited in the paper.
2010
Closest in time.
S. Maggiolo, N. Pagani, Generating stable modular graphs, preprint, 2010
2010
Closest in time.
The On-Line Encyclopedia of Integer Sequences, published electronically at http://oeis.org
2010
Closest in time.
S. Brannetti, M. Melo, F. Viviani, On the tropical Torelli map, Advances in Mathematics 226 (2011) 2546–2586
2011
Closest in time.