Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lee, Jia Choon, Lee, Sukjoo
Format:	Preprint
Published:	2025
Subjects:	Algebraic Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles
by: Lee, Jia Choon, et al.
Published: (2024)

Spectral correspondence for cyclic Higgs bundles
by: Lee, Jia Choon, et al.
Published: (2026)

The tame Deligne-Simpson problem
by: Shu, Cheng
Published: (2025)

Mirror P=W conjecture and extended Fano/Landau-Ginzburg correspondence
by: Lee, Sukjoo
Published: (2022)

Logarithmic spectral correspondence for $V$--twisted Higgs bundles on punctured curves
by: Kumar, Pradip
Published: (2026)

Counting points on braid varieties and the Deligne--Simpson problem
by: Kamgarpour, Masoud, et al.
Published: (2026)

Fibers of Landau-Ginzburg models and rationality
by: Lee, Sukjoo, et al.
Published: (2025)

Irregular Hodge numbers of stacky Clarke mirror pairs
by: Harder, Andrew, et al.
Published: (2024)

The Deligne-Simpson problem via 2-Calabi-Yau categories
by: Hennecart, Lucien
Published: (2026)

A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence
by: Deninger, Christopher, et al.
Published: (2025)

Pullback and direct image of parabolic Higgs bundles and parabolic connections with symplectic and orthogonal structures
by: Alfaya, David, et al.
Published: (2025)

Kollár's package for polystable locally abelian parabolic Higgs bundles
by: Shentu, Junchao, et al.
Published: (2024)

Simpson's correspondence on singular varieties in positive characteristic
by: Langer, Adrian
Published: (2023)

Lift-independence problem in the $P$-adic Simpson correspondence for curves
by: Pan, Xiangyu, et al.
Published: (2026)

On a conjecture of Hosono-Lee-Lian-Yau
by: Harder, Andrew, et al.
Published: (2025)

Moduli space of homologically trivial parabolic (Higgs) bundles on the projective line and applications
by: Wen, Xueqing
Published: (2021)

A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms
by: Shamoto, Yota
Published: (2026)

Specialized Simpson's main estimates for cyclic harmonic $G$-bundles
by: Mochizuki, Takuro
Published: (2026)

A $p$-adic Simpson correspondence for singular rigid-analytic varieties
by: Cai, Hanlin, et al.
Published: (2025)

Mirror symmetry for parabolic Higgs bundles via $p$-adic integration
by: Shen, Shiyu
Published: (2023)

Relative uniform Yau--Tian--Donaldson correspondence for projective bundles over a curve
by: Jubert, Simon, et al.
Published: (2026)

$p$-adic Simpson correspondences for principal bundles in abelian settings
by: Heuer, Ben, et al.
Published: (2023)

Higgs bundles without geometry
by: Rayan, Steven, et al.
Published: (2019)

Twisted Higgs bundles and coendoscopy
by: Groechenig, Michael, et al.
Published: (2026)

On the correspondence between Ulrich bundles and curves on surfaces
by: Bordoni, Sofia
Published: (2025)

On the Kirwan map for moduli of Higgs bundles
by: Cliff, Emily, et al.
Published: (2018)

Seshadri constants of Higgs Vector bundles
by: Hanumanthu, Krishna, et al.
Published: (2026)

Springer correspondence and mirror symmetries for parabolic Hitchin systems
by: Wang, Bin, et al.
Published: (2024)

Coherent Springer theory and the categorical Deligne-Langlands correspondence
by: Ben-Zvi, David, et al.
Published: (2020)

Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections
by: Dimakis, Panagiotis, et al.
Published: (2026)

Higgs bundle, isomonodromic leaves and minimal surfaces
by: Collier, Brian, et al.
Published: (2025)

The small $p$-adic Simpson correspondence in the semi-stable reduction case
by: Sheng, Mao, et al.
Published: (2024)

Frobenius pull-back of parabolic bundles and dormant opers
by: Wakabayashi, Yasuhiro
Published: (2024)

A virtual structure for symplectic Higgs bundles
by: Schirren, Simon
Published: (2025)

On quasimap invariants of moduli spaces of Higgs bundles
by: Nesterov, Denis
Published: (2023)

Stratifying moduli spaces of Higgs bundles and the Hitchin morphism
by: Patel, Aryaman, et al.
Published: (2026)

Local analog of the Deligne-Riemann-Roch isomorphism for line bundles in relative dimension $1$
by: Osipov, D. V.
Published: (2023)

The Segre-Verlinde correspondence for the moduli space of stable bundles on a curve
by: Marian, Alina
Published: (2022)

Deligne pairing for equidimensional morphisms
by: Li, Shiquan
Published: (2024)

An introduction to spectral data for Higgs bundles
by: Schaposnik, Laura P.
Published: (2014)