Aarhus Universitets segl

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

Publikation: Working paper/Preprint Working paperForskning

  • Roman Fedorov, University of Pittsburgh
  • ,
  • Alexander Soibelman
  • ,
  • Yan Soibelman, Kansas State University
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 when these moduli stacks are non-empty, which can be viewed as a version of Deligne-Simpson problem.
StatusUdgivet - okt. 2019

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