Concurring Dirac structures admit concurring reductions whenever they share a common witness, with explicit constructions for such witnesses.
On dual pairs in Dirac geometry
2 Pith papers cite this work. Polarity classification is still indexing.
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Morita equivalence is defined for Nijenhuis groupoids and algebroids with Lie functor correspondence, enhancing equivalences for quasi-symplectic groupoids and Dirac structures while proving modular class invariance for Poisson-Nijenhuis manifolds under conditions.
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Concurring reduction schemes for Dirac structures
Concurring Dirac structures admit concurring reductions whenever they share a common witness, with explicit constructions for such witnesses.
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Morita equivalence of Nijenhuis structures
Morita equivalence is defined for Nijenhuis groupoids and algebroids with Lie functor correspondence, enhancing equivalences for quasi-symplectic groupoids and Dirac structures while proving modular class invariance for Poisson-Nijenhuis manifolds under conditions.