B. G. R. Bossoto

Strict lifts and cohomological obstructions in symplectic Lie--Rinehart--Jacobi prequantization

Let $(\G,\rho,\omega)$ be a symplectic Lie--Rinehart--Jacobi algebra over a commutative algebra $A$, equivalently a Lie--Rinehart algebra $(\G,\bar\rho)$ endowed with a $1$-cocycle $\chi$ and a nondegenerate $2$-form closed for the twisted differential $d_\rho=d_{\bar\rho}+\chi\wedge$. Starting from the standard extens...