Pith. sign in

REVIEW 1 cited by

Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 2402.05380 v2 pith:KB6H5FFG submitted 2024-02-08 math.AG

Jia Choon Lee , Sukjoo Lee This is my paper · ORCID
classification math.AG
keywords parabolicbundlescohomologyhiggsmodulichernclassesirregular
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We prove that the pure part of the cohomology ring of the moduli space of irregular $\underline{\xi}$-parabolic Higgs bundles is generated by the K\"{u}nneth components of the Chern classes of a universal bundle and the Chern classes of the successive quotients of a universal flag of subbundles. As an application, in the regular full-flag case, we demonstrate a similar result for the cohomology ring of the moduli spaces of parabolic and strongly parabolic Higgs bundles.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem

    math.AG 2025-09 conditional novelty 7.0 of 10

    The authors prove that, under a multiplicative genericity assumption, the OK condition on conjugacy classes suffices for solvability of the Deligne-Simpson problem, via a new relative spectral correspondence for parab...

Pith tools