3 papers
math.AG2026
The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
Yukinobu Toda
In this paper, we prove a Dolbeault geometric Langlands equivalence for $\GL_r$ and for the Langlands dual pair $\SL_r/\PGL_r$ over an open locus of the Hitchin base which strictly…
math.AG2025
-theoretic pullbacks for Lagrangians on derived critical loci
Yalong Cao, Yukinobu Toda, Gufang Zhao
Given a regular function on a smooth stack, and a -shifted Lagrangian on the derived critical locus of , under fairly general hypotheses, we construct a pullback m…
math.AG2024
Topological K-theory of quasi-BPS categories for Higgs bundles
Tudor Pădurariu, Yukinobu Toda
In a previous paper, we introduced quasi-BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the…