%0 Journal Article
%T A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture
%A Nathan Priddis
%A Y. -P. Lee
%A Mark Shoemaker
%J Mathematics
%D 2014
%I arXiv
%X We establish a new relationship (the MLK correspondence) between twisted FJRW theory and local Gromov-Witten theory in all genera. As a consequence, we show that the Landau-Ginzburg/Calabi-Yau correspondence is implied by the crepant transformation conjecture for Fermat type in genus zero. We use this to then prove the Landau-Ginzburg/Calabi-Yau correspondence for Fermat type, generalizing the results of A. Chiodo and Y. Ruan.
%U http://arxiv.org/abs/1410.5503v1