Special Lagrangians and Bridgeland stable objects beyond geometric stability conditions: the product case

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Authors: Yu-Wei Fan
Cited by: 0

Abstract

We construct a family of non-geometric Bridgeland stability conditions on certain wrapped Fukaya categories, using homological mirror symmetry and categorical Künneth formulae. These stability conditions correspond to certain holomorphic volume forms, under which we prove that every stable object admits a special Lagrangian representative. This provides the first higher-dimensional examples of stability conditions away from the large complex structure limit for which ``stable implies special Lagrangian" is proved.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Algebraic structures and combinatorial models Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
3 February 2026
Document type
Preprint