Séminaires : Séminaire de Topologie

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We define manifold operads, a class of topological operads that generalize the Fulton-MacPherson operad. In particular they are self dual on the chain level. We also define cobordism bimodules between manifold operads, and show how to propagate a surgery in higher arity, producing many new examples of operads that are left or right cobordant but not equivalent to the Fulton-MacPherson operad.

This is joint work with Xujia Chen and Connor Malin.