122 citations · 999 across the 45 of their papers we have counts for
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math.AG2009
Calabi-Yau Three-folds and Moduli of Abelian Surfaces II
Mark Gross, Sorin Popescu
This is the sequel to arXiv:math/0001089. In this paper, we complete the promised description of moduli of abelian surfaces of low degree, covering the cases of degree (1,12), (1,1…
math.AG2009★ 15 cited
Mirror symmetry for P^2 and tropical geometry
Mark Gross
This paper explores the relationship between mirror symmetry for P^2, at the level of big quantum cohomology, and tropical geometry. The mirror of P^2 is typically taken to be ((C^…
math.AG2009★ 88 cited
The tropical vertex
Mark Gross, Rahul Pandharipande, Bernd Siebert
Elements of the tropical vertex group, introduced by Kontsevich and Soibelman, are formal families of symplectomorphisms of the 2-dimensional algebraic torus. We prove ordered prod…