On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules

We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the cohomology of non-commutative Hilbert schemes as a module over the Cohomological Hall algebra.Comment: 28 pages. v2: Final version; to appear in Math. Res. Let. Improved exposition in subsection 2.2 (thanks to the referee), results in section 3 hold for an arbitrary framing datum

Considerations on coal gasification

Commercial processes for the gasification of coal with oxygen are discussed. The Koppers-Totzek process for the gasification of coal dust entrained in a stream of gasifying agents is described in particular detail. The outlook for future applications of coal gasification is presented