# 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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