Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.
Berglund-H\"ubsch mirror symmetry via vertex algebras
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We give a vertex algebra proof of the Berglund-H\"ubsch duality of nondegenerate invertible potentials. We suggest a way to unify it with the Batyrev-Borisov duality of reflexive Gorenstein cones.
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Deformations of algebraic complete-intersection and toric superstring models indicate a non-algebraic generalization that matches mirror duality and calls for a broader heterotic analysis framework.
Correspondence between free-field and minimal-model constructions for the Calabi-Yau sector of heterotic strings on Berglund-Hübsch orbifolds, with modular invariance verification.
Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.
citing papers explorer
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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces
Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.
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Beyond Algebraic Superstring Compactification: Part II
Deformations of algebraic complete-intersection and toric superstring models indicate a non-algebraic generalization that matches mirror duality and calls for a broader heterotic analysis framework.
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Free-Field Construction of Heterotic String Compactified on Calabi-Yau Orbifolds via Correspondence with $\mathcal{N}{=}2$ SCFT Minimal Models
Correspondence between free-field and minimal-model constructions for the Calabi-Yau sector of heterotic strings on Berglund-Hübsch orbifolds, with modular invariance verification.
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Beyond Algebraic Solutions to Stringy Spacetime
Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.