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- Title
Generating functions of planar polygons from homological mirror symmetry of elliptic curves.
- Authors
Bringmann, Kathrin; Kaszian, Jonas; Zhou, Jie
- 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.
- Subjects
GENERATING functions; MIRROR symmetry; ELLIPTIC curves; THETA functions; POLYGONS; JACOBI forms
- Publication
Research in Number Theory, 2020, Vol 6, Issue 3, p1
- ISSN
2522-0160
- Publication type
Article
- DOI
10.1007/s40993-020-00199-w