Tautological classes on moduli spaces of hyper-Kähler manifolds
Tautological classes on moduli spaces of hyper-Kähler manifolds
We study algebraic cycles on moduli spaces Fh of h-polarized hyper-Kähler manifolds. Following previous work of Marian, Oprea, and Pandharipande on the tautological conjecture on moduli spaces of K3 surfaces, we first define the tautological ring on Fh. We then study the images of these tautological classes in the cohomology …