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We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation, and morphisms and (2) the Knizhnik–Zamolodchikov connection on conformal blocks (and invariants), their motivic realisations, and unitarity.

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Conformal Blocks in Genus Zero and the KZ Connection

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  • 发表日期：

    2025年

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  • Prakash Belkale,
  • Najmuddin Fakhruddin

摘要

We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation, and morphisms and (2) the Knizhnik–Zamolodchikov connection on conformal blocks (and invariants), their motivic realisations, and unitarity.