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BHK mirror symmetry as introduced by Berglund--H\"ubsch and Marc Krawitz between Landau--Ginzburg (LG) models has been the topic of much study in recent years. An LG model is determined by a potential function and a group of symmetries. BHK mirror sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d4ac7b2a02a5cd44b521de8c9fe4e67
http://arxiv.org/abs/2302.02782
http://arxiv.org/abs/2302.02782
Autor:
Paola Comparin, Nathan Priddis
Publikováno v:
Journal of the Mathematical Society of Japan. 73
In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted projective space, and admitting a non-symplectic automorphism of non-prime order, excluding the orders 4, 8, and 12. We show that on these surfaces the Berglund-H
Publikováno v:
Primitive Forms and Related Subjects — Kavli IPMU 2014, K. Hori, C. Li, S. Li and K. Saito, eds. (Tokyo: Mathematical Society of Japan, 2019)
In this paper we describe some of the constructions of FJRW theory. We also briefly describe its relation to Saito-Givental theory via Landau-Ginzburg mirror symmetry and its relation to Gromov-Witten theory via the Landau-Ginzburg/Calabi-Yau corresp
Publikováno v:
Illinois J. Math. 63, no. 3 (2019), 425-461
FJRW theory is a formulation of physical Landau-Ginzburg models with a rich algebraic structure, rooted in enumerative geometry. As a consequence of a major physical conjecture, called the Landau-Ginzburg/Calabi-Yau correspondence, several birational
Autor:
Tyler J. Jarvis, Nathan Priddis
This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory
For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror symmetry, is based on a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a9211ed16bd09cdea44272b12beedcd
http://arxiv.org/abs/1901.09373
http://arxiv.org/abs/1901.09373
Autor:
Nathan Priddis
Publikováno v:
Primitive Forms and Related Subjects — Kavli IPMU 2014, K. Hori, C. Li, S. Li and K. Saito, eds. (Tokyo: Mathematical Society of Japan, 2019)
We briefly describe a deep relationship known as the Landau–Ginzburg/Calabi–Yau correspondence for the famous mirror quintic via global mirror symmetry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9a5f9686722ceec6bb755133c5d2f48
https://projecteuclid.org/euclid.aspm/1577379891
https://projecteuclid.org/euclid.aspm/1577379891
We consider Landau-Ginzburg models stemming from groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group $G^\star$, which serves as the appropriate choice of gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9d3ed85b0e262406c244934a31012f7
http://arxiv.org/abs/1812.06200
http://arxiv.org/abs/1812.06200
Publikováno v:
Annales scientifiques de l'École normale supérieure. 49:1403-1443
We establish a new relationship (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 transformatio
Autor:
Nathan Priddis, Mark Shoemaker
Publikováno v:
Annales de l'Institut Fourier. 66:1045-1091
We prove a version of the Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic. In particular we calculate the genus-zero FJRW theory for the pair (W, G) where W is the Fermat quintic polynomial and G = SL(W). We identify it with the Grom