122 citations · 999 across the 45 of their papers we have counts for
52 papers
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…
Mirror Symmetry for open r-spin invariants
Mark Gross, Tyler L. Kelly, Ran J. Tessler
We show that a generating function for open -spin enumerative invariants produces a universal unfolding of the polynomial . Further, the coordinates parametrizing this univ…
Open FJRW Theory and Mirror Symmetry
Mark Gross, Tyler L. Kelly, Ran J. Tessler
We construct an open enumerative theory for the Landau-Ginzburg (LG) model . The invariants are defined as integrals of multisections of a W…
The canonical wall structure and intrinsic mirror symmetry
Mark Gross, Bernd Siebert
As announced "Intrinsic mirror symmetry and punctured invariants" in 2016, we construct and prove consistency of the canonical wall structure. This construction starts with a log C…
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…
The Higher Dimensional Tropical Vertex
Hülya Argüz, Mark Gross
We study log Calabi-Yau varieties obtained as a blow-up of a toric variety along hypersurfaces in its toric boundary. Mirrors to such varieties are constructed by Gross-Siebert fro…