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Symplectic Connections on Supermanifolds: Existence and Non-Uniqueness

Published 10 Sep 2014 in math.SG and math.DG | (1409.2989v1)

Abstract: We show, in this note, that on any symplectic supermanifold, even or odd, there exist an infinite dimensional affine space of symmetric connections, compatible to the symplectic form.

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