Abstract:The investigation of symmetries of b-symplectic manifolds and folded-symplectic manifolds is well-understood when the group under consideration is a torus (see, for instance, [GMPS, GLPR, GMW18a] for b-symplectic manifolds and [CGP, CM] for folded symplectic manifolds). However, reduction theory has not been set in this realm in full generality. This is fundamental, among other reasons, to advance in the "quantization commutes with reduction" programme for these manifolds initiated in [GMW18b,GMW21]. In this a… Show more
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