no code implementations • 15 Dec 2020 • Helen Jenne, Gautam Webb, Benjamin Young
We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau topological vertices in Donaldson-Thomas theory and Pandharipande-Thomas theory) are equal up to a factor of MacMahon's generating function for plane partitions.
Combinatorics 05A15, 05E14