Curve counting on abelian surfaces and threefolds
By Jim Bryan
Appears in collections : Moduli spaces in geometry / Espaces de modules en géométrie, Exposés de recherche
We explain how generating functions for curve counting problems on Abelian surfaces and threefolds are given by certain nice Jacobi forms. A new computational technique mixes motivic and toric methods and makes a connection between the topological vertex and Jacobi forms.