88 citations · 352 across the 25 of their papers we have counts for
27 papers
A tropical view on Landau-Ginzburg models
Michael Carl, Max Pumperla, Bernd Siebert
This paper, largely written in 2009/2010, fits Landau-Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark Gross since 2001. This point of…
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 mirror of the cubic surface
Mark Gross, Paul Hacking, Sean Keel +1
This paper expands on a remark in the paper "Mirror Symmetry for Log Calabi-Yau Surfaces I" of the first three authors of this paper, explaining fully how various constructions of…
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…
Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
Helge Ruddat, Bernd Siebert
We give a simple expression for the integral of the canonical holomorphic volume form in degenerating families of varieties constructed from wall structures and with central fiber…