Abstract
This chapter is intended for the reader unaccostumed to sheaf counting theories and is meant to serve as a first introduction to Donaldson-Thomas and Stable Pair invariants. We elaborate on some aspects of the expostion in the survey paper by Pandharipande-Thomas. Our emphasis is on one hand on examples that illustrate the properties of the relevant moduli spaces, on the other hand on discussing some of the highlights of the theory.
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