TITLE: References for Donaldson-Thomas theory and Pandharipande-Thomas theory?
QUESTION [11 upvotes]: I'm looking for good introductory references for Donaldson-Thomas theory and Pandharipande-Thomas theory. I know a bit about Gromov-Witten theory, but almost nothing about Donaldson-Thomas and Pandharipande-Thomas. Are there some canonical (or good non-canonical) references for Donaldson-Thomas theory and Pandharipande-Thomas theory? References that assume knowledge of Gromov-Witten theory are fine.

REPLY [9 votes]: This survey by Pandharipande and Thomas appeared today on arXiv:
13/2 ways to count curves
It should give a partial answer to your question. 
They give an elementary review of 6 ways to count curves and the relations between them.
These approaches are based on Gromov-Witten theory, Copakumar-Vafa / BPS invariants,
Donaldson-Thomas theory, Stable pairs, Stable unramified maps and Stable quotients. 
In the appendix of the paper they give a nice review of Virtual classes.
As they say at the beginning of the paper their goal is to provide a guide for graduate students looking for an elementary route into the subject.
I wrote this since I am very excited seeing the paper and wanted to post it here for those who have not yet looked at it.