Generating functions of planar polygons from homological mirror symmetry of elliptic curves
arXiv:1904.05058
Abstract
We study generating functions of certain shapes of planar polygons arising from homological mirror symmetry of elliptic curves. We express these generating functions in terms of rational functions of the Jacobi theta function and Zwegers' mock theta function and determine their (mock) Jacobi properties. We also analyze their special values and singularities, which are of geometric interest as well.
20 pages, 1 figure