Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learning

Abstract

We review briefly the characteristic topological data of Calabi--Yau threefolds and focus on the question of when two threefolds are equivalent through related topological data. This provides an interesting test case for machine learning methodology in discrete mathematics problems motivated by physics.

6 pages, 3 figures; Contribution to proceedings of 2021 Nankai symposium on Mathematical Dialogues in celebration of S. S. Chern's 110th anniversary