We study moduli stacks of principal C^*-bundles over nodal complex algebraic curves and determine their rational cohomology algebras in terms of Chern classes.

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Castorena et al. (Wed,) studied this question.

synapsesocial.com/papers/68e68fc0b6db64358761761e https://doi.org/https://doi.org/10.48550/arxiv.2405.14037

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles2024
2On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves2024
3Cohomology rings of the moduli of one-dimensional sheaves on the projective plane2024
4Torsors on moduli spaces of principal G-bundles on curves2024 · 1 citations
5Moduli of Very Ample Line Bundles2024