Homological mirror symmetry for Milnor fibers via moduli of A∞ A_∞‐structures
Y Lekili, K Ueda - Journal of Topology, 2022 - Wiley Online Library
We show that the base spaces of the semiuniversal unfoldings of some weighted
homogeneous singularities can be identified with moduli spaces of A∞ A_∞‐structures on …
homogeneous singularities can be identified with moduli spaces of A∞ A_∞‐structures on …
Homological mirror symmetry for Milnor fibers via moduli of -structures
Y Lekili, K Ueda - arXiv preprint arXiv:1806.04345, 2018 - arxiv.org
We show that the base spaces of the semiuniversal unfoldings of some weighted
homogeneous singularities can be identified with moduli spaces of $ A_\infty $-structures on …
homogeneous singularities can be identified with moduli spaces of $ A_\infty $-structures on …
Derived factorization categories of non‐Thom–Sebastiani‐type sums of potentials
Y Hirano, G Ouchi - Proceedings of the London Mathematical …, 2023 - Wiley Online Library
We first prove semi‐orthogonal decompositions of derived factorization categories arising
from sums of potentials of gauged Landau–Ginzburg models, where the sums are not …
from sums of potentials of gauged Landau–Ginzburg models, where the sums are not …
Posets and Fractional Calabi-Yau Categories
F Chapoton - arXiv preprint arXiv:2303.11656, 2023 - arxiv.org
This article deals with a relationship between derived categories of modules over some
partially ordered sets and triangulated categories arising from quasi-homogeneous isolated …
partially ordered sets and triangulated categories arising from quasi-homogeneous isolated …
On homological mirror symmetry for chain type polynomials
U Varolgunes, A Polishchuk - Mathematische Annalen, 2024 - Springer
We consider Takahashi's categorical interpretation of the Berglund–Hubsch mirror symmetry
conjecture for invertible polynomials in the case of chain polynomials. Our strategy is based …
conjecture for invertible polynomials in the case of chain polynomials. Our strategy is based …
Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities
Y Lekili, K Ueda - arXiv preprint arXiv:2406.15915, 2024 - arxiv.org
We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers
of invertible polynomials, and prove it for Brieskorn-Pham polynomials which are not of …
of invertible polynomials, and prove it for Brieskorn-Pham polynomials which are not of …
A note on homological Berglund-H\" ubsch-Henningson mirror symmetry for curve singularities
M Habermann - arXiv preprint arXiv:2205.12947, 2022 - arxiv.org
In this note, we establish homological Berglund--H\" ubsch mirror symmetry for curve
singularities where the A-model incorporates equivariance, otherwise known as …
singularities where the A-model incorporates equivariance, otherwise known as …
Homological mirror symmetry for nodal stacky curves
M Habermann - arXiv preprint arXiv:2101.12178, 2021 - arxiv.org
In this paper, we establish homological mirror symmetry where the A-model is a finite
quotient of the Milnor fibre of an invertible curve singularity, proving a conjecture of Lekili …
quotient of the Milnor fibre of an invertible curve singularity, proving a conjecture of Lekili …
Semisimple FJRW theory of polynomials with two variables
A Francis, W He, Y Shen - arXiv preprint arXiv:2302.10129, 2023 - arxiv.org
We study the Dubrovin-Frobenius manifold in the Fan-Jarvis-Ruan-Witten theory of Landau-
Ginzburg pairs $(W,\< J\>) $, where $ W $ is an invertible nondegenerate …
Ginzburg pairs $(W,\< J\>) $, where $ W $ is an invertible nondegenerate …
A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles
We show that there exists a cubic threefold defined by an invertible polynomial that, when
quotiented by the maximal diagonal symmetry group, has a derived category that does not …
quotiented by the maximal diagonal symmetry group, has a derived category that does not …