# An operad of 3-manifolds

@inproceedings{Femi2021AnOO, title={An operad of 3-manifolds}, author={Bojana Femi{\'c} and Vladimir Grujic and Jovan Obradovic and Zoran Petric}, year={2021} }

A coloured operad whose operadic operations are 3-cobordisms is introduced in this paper. This operad is presented purely combinatorially through diagrams in handlebodies together with a calculus, which is a generalization of Kirby’s calculus. Both integral and rational calculi are developed and a calculus consisting of finite set of local moves is presented in the paper. Mathematics Subject Classification (2010): 18D50, 57M25, 57M27

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