A mirror theorem for partial flag bundles
Ionut Ciocan-Fontanine, Yuki Koto
TL;DR
This paper develops a mirror theorem for partial flag bundles, extending previous results to non-split bundles and generalizing known theorems for projective and split partial flag bundles.
Contribution
It constructs a family of points on the Lagrangian cone for partial flag bundles, providing a nonabelian mirror theorem that broadens the scope of existing mirror symmetry results.
Findings
Generalizes mirror theorems to non-split partial flag bundles
Constructs explicit points on the Lagrangian cone
Extends previous results for projective and split bundles
Abstract
We construct a family of points on the Lagrangian cone of a partial flag bundle associated to a (possibly non-split) vector bundle from any Weyl-invariant -function of a prequotient. This result can be seen as the nonabelian analogue of the mirror theorem for projective bundles in arXiv:2307.03696, and generalizes Oh's mirror theorem for split partial flag bundles in arXiv:1607.08326.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds