What do dg-categories form?

@article{Tamarkin2007WhatDD,
  title={What do dg-categories form?},
  author={Dmitry E. Tamarkin},
  journal={Compositio Mathematica},
  year={2007},
  volume={143},
  pages={1335 - 1358}
}
  • D. Tamarkin
  • Published 22 June 2006
  • Mathematics
  • Compositio Mathematica
We introduce a homotopy 2-category structure on the collection of dg-categories, dg-functors, and their derived transformations. This construction provides for a conceptual proof of Deligne's conjecture on Hochschild cochains. 
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