• Corpus ID: 202152581

# Algebras over Ω(coFrob)

@article{DummondCole2010AlgebrasO,
title={Algebras over $\Omega$(coFrob)},
author={Gabriel C. Dummond-Cole and John Terilla and Thomas Tradler},
journal={Journal of Homotopy and Related Structures},
year={2010},
volume={5},
pages={15-36}
}
• Published 2010
• Mathematics
• Journal of Homotopy and Related Structures
6 Citations
• Mathematics
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## References

SHOWING 1-3 OF 3 REFERENCES
Deformation Quantization: Genesis, Developments and Metamorphoses
• Mathematics
• 2002
We start with a short exposition of developments in physics and mathematics that preceded, formed the basis for, or accompanied, the birth of deformation quantization in the seventies. We indicate
A Koszul duality for props
The notion of prop models the operations with multiple inputs and multiple outputs, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the
Quantum backgrounds and QFT
• Physics
• 2006
We introduce the concept of a quantum background and a functor QFT. In the case that the QFT moduli space is smooth formal, we construct a flat quantum superconnection on a bundle over QFT which