Unimodular bilinear lattices, automorphism groups, vanishing cycles, monodromy groups, distinguished bases, braid group actions and moduli spaces from upper …
C Hertling, K Larabi - arXiv preprint arXiv:2412.16570, 2024 - arxiv.org
This monograph starts with an upper triangular matrix with integer entries and 1's on the
diagonal. It develops from this a spectrum of structures, which appear in different contexts, in …
diagonal. It develops from this a spectrum of structures, which appear in different contexts, in …
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 …
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 …
Floer theory for the variation operator of an isolated singularity
H Bae, CH Cho, D Choa, W Jeong - arXiv preprint arXiv:2310.17453, 2023 - arxiv.org
The variation operator in singularity theory maps relative homology cycles to compact cycles
in the Milnor fiber using the monodromy. We construct its symplectic analogue for an …
in the Milnor fiber using the monodromy. We construct its symplectic analogue for an …
Gamma integral structure for an invertible polynomial of chain type
T Otani, A Takahashi - Advances in Mathematics, 2022 - Elsevier
The notion of the Gamma integral structure for the quantum cohomology of an algebraic
variety was introduced by Iritani, Katzarkov–Kontsevich–Pantev. In this paper, we define the …
variety was introduced by Iritani, Katzarkov–Kontsevich–Pantev. In this paper, we define the …