arXiv Analytics

Sign in

arXiv:math/0610463 [math.AG]AbstractReferencesReviewsResources

What is the Jacobian of a Riemann surface with boundary?

Thomas M. Fiore, Igor Kriz

Published 2006-10-15, updated 2008-06-17Version 3

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.

Comments: 27 pages. Minor explanation and motivation added.
Categories: math.AG, math-ph, math.MP
Subjects: 14H40, 81T40, 18C10, 32G15
Related articles: Most relevant | Search more
arXiv:math/0305345 [math.AG] (Published 2003-05-24)
Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface
arXiv:math/0208097 [math.AG] (Published 2002-08-13)
Intersection numbers of twisted cycles and the correlation functions of the conformal field theory II
arXiv:0905.4141 [math.AG] (Published 2009-05-26, updated 2011-02-07)
String and dilaton equations for counting lattice points in the moduli space of curves

Links

Toolbox