A note on cohomology mirror symmetry of toric manifolds
Hao Wen
TL;DR
This paper introduces a logarithmic mirror Landau-Ginzburg model for semi-projective toric manifolds, establishing an isomorphism between its state space ring and the manifold's cohomology, advancing mirror symmetry understanding.
Contribution
It presents a novel logarithmic version of the mirror Landau-Ginzburg model for semi-projective toric manifolds and proves the isomorphism with the cohomology ring.
Findings
Ring of state space is isomorphic to the cohomology of the toric manifold
Logarithmic mirror model effectively captures cohomological properties
Advances understanding of mirror symmetry for toric varieties
Abstract
In this note we describe a logarithmic version of mirror Landau-Ginzburg model for a semi-projective toric manifold and show the ring of state space of the Landau-Ginzburg model is isomorphic to the -valued cohomology of the toric manifold.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Topological and Geometric Data Analysis