Dirac generating operators and Manin triples
Dirac generating operators and Manin triples
Given a pair of (real or complex) Lie algebroid structures on a vector bundle A (over M) and its dual A*, and a line bundle ℒ such that ℒ ⊗ ℒ = (∧top A* ⊗ ∧top T*M)1/2 exists, there exist two canonically defined differential operators d̆* and ∂̆ on г(∧A …