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Poisson double structures

We introduce Poisson double algebroids, and the equivalent concept of double Lie bialgebroid, which arise as second-order infinitesimal counterparts of Poisson double groupoids. We develop their underlying Lie theory, showing how these objects are related by differentiation and integration. We use these results to revisit Lie 2-bialgebras by means of Poisson double structures.

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Poisson double structures6 visible / 6 total nodes / 8 links
Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalTopic signalWPoisson double structurespreprint / 2021AHenrique BursztynResearcherAAlejandro CabreraResearcherAMatias del HoyoResearcherTmath.DG4490 worksTmath.SG870 works
PaperSignal 105 links

Poisson double structures

preprint / 2021

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