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

Fedorov, Roman; Soibelman, Alexander; Soibelman, Yan

doi:10.3842/SIGMA.2020.070

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

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Fedorov, Roman
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.3842/SIGMA.2020.070
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Citation

Fedorov, R., Soibelman, A., & Soibelman, Y. (2020). Motivic Donaldson-Thomas invariants of parabolic Higgs bundles and parabolic connections on a curve. Symmetry, Integrability and Geometry: Methods and Applications, 16: 070. doi:10.3842/SIGMA.2020.070.

Cite as: https://hdl.handle.net/21.11116/0000-0008-91E9-D

Abstract

Let $X$ be a smooth projective curve over a field of characteristic zero and

let $D$ be a non-empty set of rational points of $X$. We calculate the motivic

classes of moduli stacks of semistable parabolic bundles with connections on

$(X,D)$ and motivic classes of moduli stacks of semistable parabolic Higgs

bundles on $(X,D)$. As a by-product we give a criteria for non-emptiness of

these moduli stacks, which can be viewed as a version of the Deligne-Simpson

problem.