Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
A Chiodo, H Iritani, Y Ruan - Publications mathématiques de l'IHÉS, 2014 - Springer
We show that the Gromov-Witten theory of Calabi-Yau hypersurfaces matches, in genus
zero and after an analytic continuation, the quantum singularity theory (FJRW theory) …
zero and after an analytic continuation, the quantum singularity theory (FJRW theory) …
Quantum cohomology and periods
H Iritani - Annales de l'Institut Fourier, 2011 - numdam.org
Hodge theoretic mirror symmetry is concerned with the equivalence of Hodge structures
from symplectic geometry (A-model or Gromov-Witten theory) of Y and complex geometry (B …
from symplectic geometry (A-model or Gromov-Witten theory) of Y and complex geometry (B …
An analogue of Dubrovin's conjecture
F Sanda, Y Shamoto - Annales de l'Institut Fourier, 2020 - numdam.org
The purpose of this paper is to propose an analogue of Dubrovin's conjecture [15] in a more
general setting. We shall firstly recall the original conjecture of Dubrovin in Section 1. 1. We …
general setting. We shall firstly recall the original conjecture of Dubrovin in Section 1. 1. We …
Quantum Serre Theorem as a Duality Between Quantum D-Modules
H Iritani, E Mann, T Mignon - … Mathematics Research Notices, 2016 - academic.oup.com
We give an interpretation of quantum Serre theorem of Coates and Givental as a duality of
twisted quantum-modules. This interpretation admits a non-equivariant limit, and we obtain a …
twisted quantum-modules. This interpretation admits a non-equivariant limit, and we obtain a …
Non-affine Landau-Ginzburg models and intersection cohomology
T Reichelt, C Sevenheck - arXiv preprint arXiv:1210.6527, 2012 - arxiv.org
We construct Landau-Ginzburg models for numerically effective complete intersections in
toric manifolds as partial compactifications of families of Laurent polynomials. We show a …
toric manifolds as partial compactifications of families of Laurent polynomials. We show a …
D-modules quantiques et symétrie miroir
E Mann - 2015 - hal.science
D-modules quantiques et symétrie miroir Page 1 HAL Id: tel-01101510 https://hal.science/tel-01101510
Submitted on 8 Jan 2015 HAL is a multi-disciplinary open access archive for the deposit …
Submitted on 8 Jan 2015 HAL is a multi-disciplinary open access archive for the deposit …
[PDF][PDF] D-modules quantiques et symétrie miroir
M Étienne - 2014 - math.univ-angers.fr
Ce mémoire est un résumé de mes travaux effectués depuis ma thèse soutenue en 2005 à
Strasbourg sous la direction de Claude Sabbah, qui s' intitulait «cohomologie quantique des …
Strasbourg sous la direction de Claude Sabbah, qui s' intitulait «cohomologie quantique des …