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Notes on the universal elliptic KZB connection

Publication ,  Journal Article
Hain, R
Published in: Pure and Applied Mathematics Quarterly
January 1, 2020

In this paper, we give an exposition of the elliptic KZB connection over the universal elliptic curve and use it to compute the limit mixed Hodge structure on the unipotent fundamental group of the first order Tate curve. We also give an explicit algebraic formula for the restriction of the elliptic KZB connection to the moduli space of non-zero abelian differentials on an elliptic curve.

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Published In

Pure and Applied Mathematics Quarterly

DOI

EISSN

1558-8602

ISSN

1558-8599

Publication Date

January 1, 2020

Volume

16

Issue

2

Start / End Page

229 / 312

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Hain, R. (2020). Notes on the universal elliptic KZB connection. Pure and Applied Mathematics Quarterly, 16(2), 229–312. https://doi.org/10.4310/PAMQ.2020.v16.n2.a2
Hain, R. “Notes on the universal elliptic KZB connection.” Pure and Applied Mathematics Quarterly 16, no. 2 (January 1, 2020): 229–312. https://doi.org/10.4310/PAMQ.2020.v16.n2.a2.
Hain R. Notes on the universal elliptic KZB connection. Pure and Applied Mathematics Quarterly. 2020 Jan 1;16(2):229–312.
Hain, R. “Notes on the universal elliptic KZB connection.” Pure and Applied Mathematics Quarterly, vol. 16, no. 2, Jan. 2020, pp. 229–312. Scopus, doi:10.4310/PAMQ.2020.v16.n2.a2.
Hain R. Notes on the universal elliptic KZB connection. Pure and Applied Mathematics Quarterly. 2020 Jan 1;16(2):229–312.

Published In

Pure and Applied Mathematics Quarterly

DOI

EISSN

1558-8602

ISSN

1558-8599

Publication Date

January 1, 2020

Volume

16

Issue

2

Start / End Page

229 / 312

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics