Theta functions and arithmetic quotients of loop groups

By Dongwen Liu. 2011

77 citations recorded by the source corpus.

In this paper we observe that isomorphism classes of certain metrized vector bundles over P^1-{0,infinity} can be parameterized by arithmetic quotients of loop groups. We construct an asymptotic version of theta functions, which are defined on these quotients. Then we prove the convergence and extend the theta functions to loop symplectic groups. We interpret them as sections of line bundles over an infinite dimensional torus, discuss the relations with loop Heisenberg groups, and give an asymptotic multiplication formula.

Subfields: Earth-Surface Processes, Environmental Chemistry, Oceanography

View Paper: https://www.semanticscholar.org/paper/a31d3af8808284319e7dd29fdab0867471b31f3f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Earth-Surface Processes

1. David T. Sandwell
2. Walter H. F. Smith

In Environmental Chemistry

1. David T. Sandwell
2. Walter H. F. Smith

In Oceanography

1. David T. Sandwell
2. Walter H. F. Smith
3. D. Bassett
4. Anthony B. Watts

Citations in the corpus

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