# Operads, modules and topological field theories

@inproceedings{Horel2014OperadsMA, title={Operads, modules and topological field theories}, author={Geoffroy Horel}, year={2014} }

In this paper, we describe a general theory of modules over an algebra over an operad. We also study functors between categories of modules. Specializing to the operad E_d of little d-dimensional disks, we show that each (d-1)-manifold gives rise to a theory of modules over E_d-algebras and each bordism gives rise to a functor from the category defined by its incoming boundary to the category defined by its outgoing boundary. We describe how to assemble these categories into a map from a… CONTINUE READING

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