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math.AG2025
Intrinsic Mirror Symmetry
Mark Gross, Bernd Siebert
We associate a ring R to a log Calabi-Yau pair (X,D) or a degeneration of Calabi-Yau manifolds X->B. The vector space underlying R is determined by the tropicalization of (X,D) or…
math.AG2025
Remarks on gluing punctured logarithmic maps
Mark Gross
We consider some well-behaved cases of the gluing formalism for punctured stable log maps of Abramovich-Chen-Gross-Siebert. This gives a gluing formula for log Gromov-Witten invari…
math.AG2024
Punctured logarithmic maps
Dan Abramovich, Qile Chen, Mark Gross +1
We introduce a variant of stable logarithmic maps, which we call punctured logarithmic maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points have…