Corpus ID: 119559275

# Notes on the Universal Elliptic KZB Equation

@article{Hain2013NotesOT,
title={Notes on the Universal Elliptic KZB Equation},
author={Richard M. Hain},
journal={arXiv: Algebraic Geometry},
year={2013}
}
• R. Hain
• Published 2013
• Mathematics
• arXiv: Algebraic Geometry
The universal elliptic KZB equation is the integrable connection on the pro-vector bundle over M_{1,2} whose fiber over the point corresponding to the elliptic curve E and a non-zero point x of E is the unipotent completion of \pi_1(E-{0},x). This was written down independently by Calaque, Enriquez and Etingof (arXiv:math/0702670), and by Levin and Racinet (arXiv:math/0703237). It generalizes the KZ-equation in genus 0. These notes are in four parts. The first two parts provide a detailed… Expand

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