On motives of parabolic Higgs bundles and parabolic connections

Algebraic moduli problems, moduli of vector bundles (14D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Stacks and moduli problems (14D23)

Cites Work

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Stable bundles and integrable systems
Moduli of parabolic stable sheaves
On the motivic class of the stack of bundles
Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
Moduli of vector bundles on curves with parabolic structures
Higgs bundles and local systems
Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
Moduli of representations of the fundamental group of a smooth projective variety. I
Mirror symmetry, Langlands duality, and the Hitchin system
Moduli of representations of the fundamental group of a smooth projective variety. II
Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve
Motivic Donaldson-Thomas invariants of parabolic Higgs bundles and parabolic connections on a curve
Théorie de Hodge. II. (Hodge theory. II)
Equations différentielles à points singuliers réguliers
On the Voevodsky motive of the moduli space of Higgs bundles on a curve
On the Chow motive of some moduli spaces
Moduli of parabolic connections on curves and the Riemann-Hilbert correspondence
Cohomology of large semiprojective hyperkaehler varieties
On moduli spaces of Hitchin pairs
The Self-Duality Equations on a Riemann Surface
INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
The Hodge filtration on nonabelian cohomology
Variation of moduli of parabolic Higgs bundles
Moduli of Semistable Logarithmic Connections
MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
Motives of moduli spaces of bundles on curves via variation of stability and flips

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