Conformal blocks in genus zero and the KZ connection
Prakash Belkale, Najmuddin Fakhruddin
TL;DR
This paper surveys recent advances in the study of conformal blocks in genus zero, emphasizing Chern classes, global generation, morphisms, and the Knizhnik--Zamolodchikov connection, including its motivic aspects and unitarity.
Contribution
It provides a comprehensive overview of recent developments in conformal blocks, focusing on their geometric and connection properties in genus zero.
Findings
Analysis of Chern classes and global generation of conformal blocks
Description of the KZ connection and its motivic realizations
Results on unitarity of the KZ connection
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology