Discrete period matrices and related topics
Mathematical Physics
2007-05-23 v2 Complex Variables
math.MP
Abstract
We continue our investigation of Discrete Riemann Surfaces with the discussion of the discrete analogs of period matrices, Riemann's bilinear relations, exponential of constant argument, series and electrical moves. We show that given a refining sequence of critical maps, the discrete period matrix converges to the continuous one.
Cite
@article{arxiv.math-ph/0111043,
title = {Discrete period matrices and related topics},
author = {Christian Mercat},
journal= {arXiv preprint arXiv:math-ph/0111043},
year = {2007}
}
Comments
35 pages; uses youngtab (provided). Fix some bugs, add comments and examples