What is the Jacobian of a Riemann surface with boundary?
Algebraic Geometry
2008-06-17 v3 Mathematical Physics
math.MP
Abstract
We define the Jacobian of a Riemann surface with analytically parametrized boundary components. These Jacobians belong to a moduli space of ``open abelian varieties'' which satisfies gluing axioms similar to those of Riemann surfaces, and therefore allows a notion of ``conformal field theory'' to be defined on this space. We further prove that chiral conformal field theories corresponding to even lattices factor through this moduli space of open abelian varieties.
Keywords
Cite
@article{arxiv.math/0610463,
title = {What is the Jacobian of a Riemann surface with boundary?},
author = {Thomas M. Fiore and Igor Kriz},
journal= {arXiv preprint arXiv:math/0610463},
year = {2008}
}
Comments
27 pages. Minor explanation and motivation added.