Generators for the cohomology of the moduli space of parabolic Higgs bundles
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：Jiajun Li (Beijing International Center for Mathematical Research)
： 2024-12-19 09:30
：Conference Room S204 at Experiment Building at Haiyun Campus
Speaker：Jiajun Li (Beijing International Center for Mathematical Research)
Time：2024-12-19, 9:30
Location：Conference Room S204 at Experiment Building at Haiyun Campus
Abstract:
It is known that the cohomology ring of the moduli space of stable Higgs bundles on a curve can be generated by the tautological classes by a result of E. Markman. In this talk, I will explain how to generalize this result to the moduli spaces of stable parabolic Higgs bundles on a curve. The key ingredient is to employ a spectral correspondence due to Kontsevich-Soibelman and Diaconescu-Donagi-Pantev. This is joint work with Sukjoo Lee.
