Residue mirror symmetry for Grassmannians
Bumsig Kim, Jeongseok Oh, Kazushi Ueda, Yutaka Yoshida
TL;DR
This paper extends the concept of residue mirror symmetry from toric varieties to complete intersections within Grassmannians, inspired by recent developments in A-twisted gauged linear sigma models.
Contribution
It generalizes toric residue mirror symmetry to Grassmannians, providing a new framework for understanding mirror symmetry in more complex geometric settings.
Findings
Develops a residue mirror symmetry framework for Grassmannians
Connects mirror symmetry with A-twisted gauged linear sigma models
Provides potential tools for computing invariants of Grassmannian complete intersections
Abstract
Motivated by recent works on localizations in A-twisted gauged linear sigma models, we discuss a generalization of toric residue mirror symmetry to complete intersections in Grassmannians.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Nonlinear Waves and Solitons