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Instantons and Donaldson–Thomas invariants

Instantons and Donaldson–Thomas invariants

Abstract We review some recent progress in understanding the relation between a six dimensional topological Yang–Mills theory and the enumerative geometry of Calabi–Yau threefolds. The gauge theory localizes on generalized instanton solutions and is conjecturally equivalent to Donaldson–Thomas theory. We evaluate the partition function of the U(N) theory in its …