Abstract: Donaldson-Thomas theory associates integers (which are virtual counts of sheaves) to a Calabi-Yau threefold X. The simplest example is that of C^3, when the Donaldson-Thomas (DT) invariant of length d sheaves is p(d), the number of plane partitions of d.  The DT invariants have several refinements, for example a cohomological one, where instead of a DT invariant, one studies … Read More