INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS (Q6112072)

scientific article; zbMATH DE number 7708864

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English	INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS	scientific article; zbMATH DE number 7708864

Statements

instance of

scholarly article

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title

INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS (English)

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author

Mirko Mauri

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published in

Journal of the Institute of Mathematics of Jussieu

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publication date

7 July 2023

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full work available at URL

https://arxiv.org/abs/2101.04628

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zbMATH Keywords

intersection cohomology

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Higgs bundles

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P=W conjecture

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isosingularity

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MaRDI profile type

MaRDI publication profile

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cites work

Introduction to equivariant cohomology in algebraic geometry

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Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties

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The Yang-Mills equations over Riemann surfaces

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Arithmetic of singular character varieties and their E‐polynomials

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Q3320507

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Symplectic resolutions of character varieties

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The action of the Torelli group on the homology of representation spaces is nontrivial

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NONEXISTENCE OF A CREPANT RESOLUTION OF SOME MODULI SPACES OF SHEAVES ON A K3 SURFACE

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Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles

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An application of transversality to the topology of the moduli space of stable bundles

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Cohomology of $SL(2,\mathbb C)$ character varieties of surface groups and the action of the Torelli group

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Topology of Hitchin systems and Hodge theory of character varieties: the case $A_1$

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Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces

0 references

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

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The Hodge theory of algebraic maps

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The decomposition theorem, perverse sheaves and the topology of algebraic maps

0 references

The perverse filtration and the Lefschetz hyperplane theorem

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Q4204244

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Q4355865

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Intersection Homology Betti Numbers

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Casimirs of the Goldman Lie algebra of a closed surface

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P=W conjectures for character varieties with symplectic resolution

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Lectures on Nakajima's Quiver Varieties

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The deformation theory of representations of fundamental groups of compact Kähler manifolds

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Lefschetz fixed point theorem for intersection homology

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Q4039743

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Global topology of the Hitchin system

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

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Cohomology of large semiprojective hyperkaehler varieties

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Mirror symmetry, Langlands duality, and the Hitchin system

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

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The Self-Duality Equations on a Riemann Surface

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Q3579591

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Singular symplectic moduli spaces

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INTERSECTION COHOMOLOGY OF REPRESENTATION SPACES OF SURFACE GROUPS

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The stringy E-function of the moduli space of Higgs bundles with trivial determinant

0 references

Partial desingularisations of quotients of nonsingular varieties and their Betti numbers

0 references

On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface

0 references

Rational intersection cohomology of quotient varieties. II

0 references

Q3373207

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

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Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces

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E-Polynomials of the SL(2, ℂ)-Character Varieties of Surface Groups

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Topological mirror symmetry for rank two character varieties of surface groups

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

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Arithmetic of character varieties of free groups

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t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8

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Flops and Poisson deformations of symplectic varieties

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Desingularized moduli spaces of sheaves on a K3

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Isolated singularities of algebraic surfaces with $\mathbb{C}^{*}$ action

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Deformation of the O'Grady moduli spaces

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Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces

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Mixed Hodge Structures

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Q3971967

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Mixed Hodge modules

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The Weights of the Tautological Classes of Character Varieties

0 references

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

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

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Q5433076

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Q5338776

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A Note on Formality and Singularities of Moduli Spaces

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Identifiers

zbMATH Open document ID

1523.14084

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arXiv ID

2101.04628

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Mathematics Subject Classification ID

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10.1017/S1474748021000487

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Sitelinks

Mathematics(1 entry)

mardi Publication:6112072