Faculty Publications

The Krichever Map And Automorphic Line Bundles

Document Type

Article

Journal/Book/Conference Title

Journal of Nonlinear Mathematical Physics

Volume

11

Issue

2

First Page

199

Last Page

207

Abstract

A solution of the KP-hierarchy can be given by the τ -function or the Baker function associated to an element of the Grassmannian Gr(L 2(S 1)) consisting of some subspaces of the space L 2(S 1) of square-integrable functions on the unit circle S 1. The Krichever map associates an element W ∈ Gr(L 2(S 1)) to a line bundle over a Riemann surface equipped with some additional data. We consider a line bundle over a modular curve associated to an automorphy factor J and prove that the elements of the image W of this bundle under the Krichever map can be characterized by a set of criteria involving J. © 2004 Taylor & Francis Group, LLC.

Department

Department of Mathematics

Original Publication Date

1-1-2004

DOI of published version

10.2991/jnmp.2004.11.2.5

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