PROP profile of Poisson geometry

Details PROP profile of Poisson geometry PROP profile of Poisson geometry

2004-01-05

arxiv.org/abs/math/0401034v3

Commun.Math.Phys. 262 (2006) 117-135

Mathematics

Differential Geometry

Scientific paper

We argue that some classical local geometries are of infinity origin, i.e. their smooth formal germs are (homotopy) representations of cofibrant (di)operads in spaces concentrated in degree zero. In particular, they admit natural infinity generalizations when one considers homotopy representations of that (di)operads in generic differential graded spaces. Poisson geometry provides us with a simplest manifestation of this phenomenon.

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