English

Conformal blocks in genus zero and the KZ connection

Algebraic Geometry 2023-02-22 v2

Abstract

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 realizations, and unitarity.

Cite

@article{arxiv.2302.00798,
  title  = {Conformal blocks in genus zero and the KZ connection},
  author = {Prakash Belkale and Najmuddin Fakhruddin},
  journal= {arXiv preprint arXiv:2302.00798},
  year   = {2023}
}

Comments

19 pages. Added Remark 3.3 and a reference

R2 v1 2026-06-28T08:29:43.500Z