LG/CY correspondence: the state space isomorphism

A Chiodo, Y Ruan - Advances in Mathematics, 2011 - Elsevier
We prove the mirror duality conjecture for the mirror pairs constructed by Berglund, Hübsch,
and Krawitz. Our main tool is a cohomological LG/CY correspondence which provides a …

A global mirror symmetry framework for the Landau–Ginzburg/Calabi–Yau correspondence

A Chiodo, Y Ruan - Annales de l'Institut Fourier, 2011 - numdam.org
We survey FJRW theory introduced by Fan, Jarvis, and the second author for the Landau–
Ginzburg model following ideas of Witten. We review its connection to related work and we …

Asymptotic expansion and the LG/(Fano, general type) correspondence

P Acosta - arXiv preprint arXiv:1411.4162, 2014 - arxiv.org
The celebrated LG/CY correspondence asserts that the Gromov-Witten theory of a Calabi-
Yau (CY) hypersurface in weighted projective space is equivalent to its corresponding FJRW …

Gromov--Witten Invariants of Non-Convex Complete Intersections in Weighted Projective Stacks

F Janda, N Sultani, Y Zhou - arXiv preprint arXiv:2409.06193, 2024 - arxiv.org
In this paper we compute genus 0 orbifold Gromov--Witten invariants of Calabi--Yau
threefold complete intersections in weighted projective stacks, regardless of convexity …

The cohomological crepant resolution conjecture for ℙ (1, 3, 4, 4)

S Boissiere, E Mann, F Perroni - International Journal of …, 2009 - World Scientific
THE COHOMOLOGICAL CREPANT RESOLUTION CONJECTURE FOR ℙ(1,3,4,4) Page 1
International Journal of Mathematics Vol. 20, No. 6 (2009) 791–801 c World Scientific Publishing …

Computing certain Gromov-Witten invariants of the crepant resolution of ℙ (1, 3, 4, 4)

S Boissière, É Mann, F Perroni - Nagoya Mathematical Journal, 2011 - cambridge.org
We prove a formula computing the Gromov-Witten invariants of genus zero with three
marked points of the resolution of the transversal A3-singularity of the weighted projective …

Crepant resolutions of weighted projective spaces and quantum deformations

S Boissiere, E Mann, F Perroni - arXiv preprint math/0610617, 2006 - arxiv.org
We compare the Chen-Ruan cohomology ring of the weighted projective spaces $\IP (1, 3,
4, 4) $ and $\IP (1,..., 1, n) $ with the cohomology ring of their crepant resolutions. In both …

Inertia groups of a toric Deligne-Mumford stack, fake weighted projective stacks, and labeled sheared simplices

R Goldin, M Harada, D Johannsen, D Krepski - The Rocky Mountain Journal …, 2016 - JSTOR
This paper determines the inertia groups (isotropy groups) of the points of a toric Deligne-
Mumford stack [𝑍/𝐺](considered over the category of smooth manifolds) that is realized from …

[PDF][PDF] Towards global mirror symmetry

A Chiodo - Lecture Notes From 2011 Summer School on …, 2011 - www-fourier.ujf-grenoble.fr
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of
disciplines in mathematics and physics in the last twenty years; we will review here a …

A Generalized Landau-Ginzburg/Gromov-Witten Correspondence.

P Acosta - 2015 - deepblue.lib.umich.edu
The celebrated Landau-Ginzburg/Calabi-Yau correspondence asserts that the Gromov-
Witten theory of a Calabi-Yau hypersurface in weighted projective space is equivalent to its …