WHAT IS THE JACOBIAN OF A RIEMANN SURFACE WITH BOUNDARY? (2008)
by
Thomas M. Fiore
,
Igor Kriz
BibTeX
@MISC{Fiore08whatis,
author = {Thomas M. Fiore and Igor Kriz},
title = {WHAT IS THE JACOBIAN OF A RIEMANN SURFACE WITH BOUNDARY?},
year = {2008}
}
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Abstract
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. 1.
