Noah Arbesfeld (Columbia), K-theoretic Donaldson-Thomas theory and tautological bundles on the Hilbert scheme of points


The integrals of characteristic classes of tautological sheaves on the Hilbert scheme of points on a surface arise in enumerative problems. We explain an approach to the K-theoretic analogs of such expressions. Namely, we explain how to compute the K-theoretic Donaldson-Thomas partition function of a Calabi-Yau threefold, and show how this computation implies certain symmetries of generating functions of equivariant Euler characteristics of tautological classes on the Hilbert scheme.