Zobrazeno 1 - 10
of 6 395
pro vyhledávání: '"Berglund, H."'
We use the Berglund-H\"ubsch transpose rule from classical mirror symmetry in the context of Sasakian geometry and results on relative K-stability in the Sasaki setting developed by Boyer and van Coevering to exhibit examples of Sasaki manifolds of c
Externí odkaz:
http://arxiv.org/abs/2409.09720
We investigate here the deformations of Berglund H\"ubsch loop and chain mirrors where the original manifolds are defined in the same weighted projective space. We show that the deformations are equivalent by two methods. First, we map directly the t
Externí odkaz:
http://arxiv.org/abs/2408.15182
We find a Floer theoretic approach to obtain the transpose polynomial $W^T$ of an invertible curve singularity $W$. This gives an intrinsic construction of the mirror transpose polynomial and enables us to define a canonical $A_\infty$-functor that t
Externí odkaz:
http://arxiv.org/abs/2410.14678
Autor:
Gomez, Ralph R.
We apply the Berglund-H\"ubsch transpose rule from BHK mirror symmetry to show that to an $n-1$-dimensional Calabi-Yau orbifold in weighted projective space defined by an invertible polynomial, we can associate four (possibly) distinct Sasaki manifol
Externí odkaz:
http://arxiv.org/abs/2210.03577
Autor:
Habermann, Matthew
In this note, we establish homological Berglund--H\"ubsch mirror symmetry for curve singularities where the A-model incorporates equivariance, otherwise known as homological Berglund-H\"ubsch-Henningson mirror symmetry. More precisely, we prove a con
Externí odkaz:
http://arxiv.org/abs/2205.12947
Autor:
Gammage, Benjamin
We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-H\"ubsch invertible polynomial, mostly proving a conjecture of Yank{\i} Lekili and Kazushi Ueda on homological mirror symmetry. As usual, we begin by calculating the "v
Externí odkaz:
http://arxiv.org/abs/2010.15570
Autor:
Habermann, Matthew, Smith, Jack
Given a two-variable invertible polynomial, we show that its category of maximally-graded matrix factorisations is quasi-equivalent to the Fukaya-Seidel category of its Berglund-H\"ubsch transpose. This was previously shown for Brieskorn-Pham and $D$
Externí odkaz:
http://arxiv.org/abs/1903.01351
A. Takahashi suggested a conjectural method to find mirror symmetric pairs consisting of invertible polynomials and symmetry groups generated by some diagonal symmetries and some permutations of variables. Here we generalize the Saito duality between
Externí odkaz:
http://arxiv.org/abs/1807.04097
Autor:
Filipazzi, Stefano, Rota, Franco
Publikováno v:
Le matematiche, 73 (1), 2018, pp. 191--209
We study an example of complete intersection Calabi-Yau threefold due to Libgober and Teitelbaum arXiv:alg-geom/9301001, and verify mirror symmetry at a cohomological level. Direct computations allow us to propose an analogue to the Berglund-H\"ubsch
Externí odkaz:
http://arxiv.org/abs/1711.02812
Autor:
Aldi, Marco, Peruničić, Andrija
Publikováno v:
Adv. Theor. Math. Phys. (2015) v. 19, no. 5, 1115-1139
Berglund-H\"ubsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund-H\"ubsch duality. In the $p$-adic case, the D-module approach makes
Externí odkaz:
http://arxiv.org/abs/1409.5017