Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Fedorov, Roman, Soibelman, Alexander, Soibelman, Yan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210778
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve. Roman Fedorov, Alexander Soibelman and Yan Soibelman. SIGMA 16 (2020), 070, 49 pages

Let be a smooth projective curve over a field of characteristic zero, and let be a non-empty set of rational points of . We calculate the motivic classes of moduli stacks of semistable parabolic bundles with connections on (, ) and the motivic classes of moduli stacks of semistable parabolic Higgs...