Homological mirror symmetry for singularities
Wolfgang Ebeling
TL;DR
This paper surveys the progress on homological mirror symmetry for singularities, focusing on Berglund-Hübsch duality of invertible polynomials and related conjectures in the field.
Contribution
It provides an overview of recent developments connecting Berglund-Hübsch duality with homological mirror symmetry for singularities.
Findings
Berglund-Hübsch duality relates invertible polynomials in mirror symmetry.
Progress has been made in establishing homological mirror symmetry for certain singularities.
The survey summarizes key results and open problems in the area.
Abstract
We give a survey on results related to the Berglund-H\"ubsch duality of invertible polynomials and the homological mirror symmetry conjecture for singularities.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra