A Note on Cohomological Mirror Symmetry of Toric Manifolds

Authors

DOI:

https://doi.org/10.4208/cmr.2025-0027

Abstract

In this note we describe a logarithmic version of mirror LandauGinzburg model for semi-projective toric manifolds and show in an elementary and explicit way that the state space ring of the Landau-Ginzburg mirror is isomorphic to the $\mathbb{C}$-valued cohomology of the toric manifold.

Author Biography

  • Hao Wen

    School of Mathematical Sciences and the Key Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin 300071, P.R. China

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Published

2025-09-26

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Issue

Vol. 41 No. 3 (2025)

Section

Articles

How to Cite

A Note on Cohomological Mirror Symmetry of Toric Manifolds. (2025). Communications in Mathematical Research, 41(3), 271-286. https://doi.org/10.4208/cmr.2025-0027