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Exotic automorphisms of the Schouten algebra of polyvector fields

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arxiv 0809.2385 v6 pith:XX6YGWGE submitted 2008-09-15 math.QA math.SG

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keywords algebraautomorphismsexoticfieldspolyvectorschoutenspaceaffine
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Using a new compactification of the (braid) configuration space of n points in the upper half plane we construct a family of exotic Lie-infinity automorphisms of the Schouten algebra of polyvector fields on an affine space depending on a Kontsevich type propagator.

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  1. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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