Rational homotopy types of mirror manifolds
Jian Zhou
TL;DR
This paper explores the connection between mirror symmetry for Calabi-Yau manifolds and the rational homotopy types of closed Kähler manifolds, providing insights into their classification.
Contribution
It establishes a relationship between mirror manifolds and the rational homotopy types of Kähler manifolds, offering a new perspective on mirror symmetry.
Findings
Link between mirror symmetry and rational homotopy types
Characterization method for Kähler manifolds
Framework for identifying mirror manifolds
Abstract
We explain how to relate the problem of finding a mirror manifold for a Calabi-Yau manifold to the problem of characterizing the rational homotopy types of closed K\"{a}hler manifolds.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory