Intersection cohomology of character varieties for punctured Riemann surfaces (Q2677318)

scientific article; zbMATH DE number 7642038

Language	Label	Description	Also known as
English	Intersection cohomology of character varieties for punctured Riemann surfaces	scientific article; zbMATH DE number 7642038

Statements

instance of

scholarly article

0 references

title

Intersection cohomology of character varieties for punctured Riemann surfaces (English)

0 references

author

Mathieu Ballandras

0 references

publication date

13 January 2023

0 references

full work available at URL

https://arxiv.org/abs/2201.08795

0 references

zbMATH Keywords

character varieties

0 references

intersection cohomology

0 references

parabolic Higgs bundles

0 references

MaRDI profile type

Publication

0 references

cites work

The Yang-Mills equations over Riemann surfaces

0 references

Self-duality in four-dimensional Riemannian geometry

0 references

Wild non-abelian Hodge theory on curves

0 references

Q3320507

0 references

SYZ duality for parabolic Higgs moduli spaces

0 references

Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group

0 references

Arithmetic of singular character varieties and their E‐polynomials

0 references

Fibrés de higgs et connexions intégrables : Le cas logarithmique (diviseur lisse)

0 references

Q3697154

0 references

Symmetric cubic surfaces and 𝐆₂ character varieties

0 references

On the Classification of Cubic Surfaces

0 references

MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I

0 references

On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero

0 references

Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity

0 references

Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem

0 references

Parabolic refined invariants and Macdonald polynomials

0 references

BPS states and the P=W conjecture

0 references

Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation

0 references

SUR LE COMPTAGE DES FIBRÉS DE HITCHIN NILPOTENTS

0 references

Flat G-bundles with canonical metrics

0 references

Vertex operators and character varieties

0 references

Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)

0 references

Hitchin fibrations, abelian surfaces, and the P=W conjecture

0 references

BPS states, torus links and wild character varieties

0 references

Equations différentielles à points singuliers réguliers

0 references

Théorie de Hodge. II. (Hodge theory. II)

0 references

Local curves, wild character varieties, and degenerations

0 references

Twisted Harmonic Maps and the Self-Duality Equations

0 references

Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces

0 references

INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE

0 references

P=W conjectures for character varieties with symplectic resolution

0 references

Motivic classes of moduli of Higgs bundles and moduli of bundles with connections

0 references

Motivic Donaldson-Thomas invariants of parabolic Higgs bundles and parabolic connections on a curve

0 references

Intersection homology. II

0 references

Topological mirror symmetry for parabolic Higgs bundles

0 references

Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces

0 references

THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE

0 references

Betti numbers of the moduli space of rank 3 parabolic Higgs bundles

0 references

The \(y\)-genus of the moduli space of \(\mathrm{PGL}_n\)-Higgs bundles on a curve (for degree coprime to \(n\))

0 references

On the motives of moduli of chains and Higgs bundles

0 references

Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration

0 references

Q4143433

0 references

Compactification of moduli of Higgs bundles

0 references

Q3375888

0 references

The Self-Duality Equations on a Riemann Surface

0 references

Hyperkähler metrics and supersymmetry

0 references

Arithmetic harmonic analysis on character and quiver varieties

0 references

Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.

0 references

Examples of mirror partners arising from integrable systems

0 references

Mirror symmetry, Langlands duality, and the Hitchin system

0 references

Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles

0 references

Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles

0 references

The geometry of some special arithmetic quotients

0 references

Q5457421

0 references

Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI. I

0 references

Q3438064

0 references

Moduli of parabolic connections on curves and the Riemann-Hilbert correspondence

0 references

Rigid Local Systems. (AM-139)

0 references

Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface

0 references

The Deligne-Simpson problem -- survey

0 references

Minimal singularities in \(GL_ n\).

0 references

Q5520509

0 references

Quiver varieties and the character ring of general linear groups over finite fields.

0 references

Character varieties with Zariski closures of \(\mathrm{GL}_n\)-conjugacy classes at punctures

0 references

Moduli of parabolic Higgs bundles and Atiyah algebroids

0 references

Hodge polynomials of the SL(2, ℂ)-character variety of an elliptic curve with two marked points

0 references

Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus

0 references

Green polynomials and singularities of unipotent classes

0 references

Intersection cohomology complexes on a reductive group

0 references

Character sheaves. I

0 references

On the character values of finite Chevalley groups at unipotent elements

0 references

Motivic integration on the Hitchin fibration

0 references

Q2950650

0 references

Topological mirror symmetry for rank two character varieties of surface groups

0 references

Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers

0 references

Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)

0 references

On the \(E\)-polynomials of a family of \({\mathrm {Sl}}_n\)-character varieties

0 references

Q4402061

0 references

E-polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties of complex curves of genus 3

0 references

E-polynomials of the \(\mathrm{SL}(2, \mathbb{C})\)-character varieties of surface groups

0 references

Solutions of the Motivic ADHM Recursion Formula

0 references

Moduli of vector bundles on curves with parabolic structures

0 references

Counting Higgs bundles and type quiver bundles

0 references

Q4715032

0 references

Quiver varieties and Kac-Moody algebras

0 references

Quiver varieties and finite dimensional representations of quantum affine algebras

0 references

Stable and unitary vector bundles on a compact Riemann surface

0 references

Moduli spaces of parabolic fibres and conformal blocks

0 references

Mixed Hodge modules

0 references

Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

0 references

Some remarks on Nakajima's quiver varieties of type A

0 references

Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization

0 references

Harmonic Bundles on Noncompact Curves

0 references

Higgs bundles and local systems

0 references

Moduli of representations of the fundamental group of a smooth projective variety. I

0 references

Moduli of representations of the fundamental group of a smooth projective variety. II

0 references

Katz's middle convolution algorithm

0 references

The dual boundary complex of the \(SL_2\) character variety of a punctured sphere

0 references

Parabolic bundles over the projective line and the Deligne-Simpson problems

0 references

The very good property for parabolic vector bundles over curves

0 references

Trigonometric sums, Green functions of finite groups and representations of Weyl groups

0 references

Symplectic Resolutions for Multiplicative Quiver Varieties and Character Varieties for Punctured Surfaces

0 references

Geometry of Multiplicative Preprojective Algebra

0 references

Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves

0 references

published in

Journal de l’École polytechnique — Mathématiques

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2677318