Abstract
AbstractWe give an algebro-geometric construction of the Hitchin connection, valid also in positive characteristic (with a few exceptions). A key ingredient is a substitute for the Narasimhan–Atiyah–Bott Kähler form that realizes the Chern class of the determinant-of-cohomology line bundle on the moduli space of bundles on a curve. As replacement we use an explicit realisation of the Atiyah class of this line bundle, based on the theory of the trace complex due to Beilinson–Schechtman and Bloch–Esnault.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. A Hitchin connection on nonabelian theta functions for parabolic -bundles;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-09-14