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pro vyhledávání: '"Nathan Priddis"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb5904f139d07a2282c926cca0889ed5
https://doi.org/10.2969/jmsj/79867986
https://doi.org/10.2969/jmsj/79867986
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0a2771e93bf513f00d8bace92ed6fec
https://doi.org/10.2969/aspm/08310019
https://doi.org/10.2969/aspm/08310019
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
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58358dbad965b78f572a82fbd19e6ec6
https://doi.org/10.1215/00192082-7899497
https://doi.org/10.1215/00192082-7899497
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b8aeb1673e99d1cf59195a92092847c
https://doi.org/10.24033/asens.2312
https://doi.org/10.24033/asens.2312
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ac418db6cb4afc0bc23ad11fba15178
https://doi.org/10.5802/aif.3031
https://doi.org/10.5802/aif.3031