[PDF][PDF] Hodge Diamonds of the Landau–Ginzburg Orbifolds

AA Basalaev, AA Ionov - Symmetry, Integrability and Geometry: Methods …, 2024 - emis.de
Consider the pairs (f, G) with f= f (x1,..., xN) being a polynomial defining a
quasihomogeneous singularity and G being a subgroup of SL (N, C), preserving f. In …

Twisted Koszul algebras of nonisolated hypersurface singularities

S Lee - arXiv preprint arXiv:2402.17965, 2024 - arxiv.org
arXiv:2402.17965v1 [math.AG] 28 Feb 2024 Page 1 arXiv:2402.17965v1 [math.AG] 28 Feb
2024 TWISTED KOSZUL ALGEBRAS OF NONISOLATED HYPERSURFACE SINGULARITIES …

Mirror partner for a Klein quartic polynomial

A Basalaev - arXiv preprint arXiv:2406.12490, 2024 - arxiv.org
The results of A. Chiodo, Y. Ruan and M. Krawitz associate the mirror partner Calabi-Yau
variety $ X $ to a Landau--Ginzburg orbifold $(f, G) $ if $ f $ is an invertible polynomial …

Kodaira-Spencer maps for elliptic orbispheres as isomorphisms of Frobenius algebras

S Lee - arXiv preprint arXiv:2409.07814, 2024 - arxiv.org
Given a mirror pair of a symplectic manifold $ X $ and a Landau-Ginzburg potential $ W $,
we are interested in the problem whether the quantum cohomology of $ X $ and the …