Hodge Diamonds of the Landau-Ginzburg Orbifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Authors: Basalaev, Alexey, Ionov, Andrei
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212171
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hodge Diamonds of the Landau-Ginzburg Orbifolds. Alexey Basalaev and Andrei Ionov. SIGMA 20 (2024), 024, 25 pages

Consider the pairs (, ) with = (₁, …, ) being a polynomial defining a quasihomogeneous singularity and being a subgroup of SL(, ℂ), preserving . In particular, is not necessarily abelian. Assume further that contains the grading operator and satisfies the Calabi-Yau condition. We prove that th...