The integral Hodge conjecture for two-dimensional Calabi–Yau categories
The integral Hodge conjecture for two-dimensional Calabi–Yau categories
We formulate a version of the integral Hodge conjecture for categories, prove the conjecture for two-dimensional Calabi–Yau categories which are suitably deformation equivalent to the derived category of a K3 or abelian surface, and use this to deduce cases of the usual integral Hodge conjecture for varieties. Along the way, …