REVIEW 2 cited by
On Fourier-Mukai transforms of upward flows for Hitchin systems
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We consider the moduli space of semistable Higgs bundles on a smooth projective curve. Motivated by mirror symmetry, Hausel and Hitchin showed that over an open of the locus of smooth Hitchin fibers, the duality of Donagi-Pantev intertwines certain Lagrangian upward flows with hyperholomorphic vector bundles constructed from universal Higgs bundles. Using Arinkin's sheaf and some codimension estimates, we show a generalization of this result over the entire Hitchin base, for Higgs bundles of arbitrary degree.
Forward citations
Cited by 2 Pith papers
-
The Dolbeault geometric Langlands conjecture via limit categories
Limit categories are defined, proven compactly generated and semiorthogonally decomposed into quasi-BPS categories, then proposed as the correct automorphic side of the Dolbeault geometric Langlands conjecture.
-
Center of Kostant algebra
The center of the Kostant algebra R_mu(g) is generated by Z(g) and delta(Z(g)), with spectrum {([lambda], [lambda+mu_i])}, encoding tensor products of Verma modules with V_mu.
Discussion (0). Continue with ORCID to comment.