2004/12/14 by Sebastien Michea, Michea, Sebastien, Gleb Novitchkov +1
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AG #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.math/0412270
arxiv created 2004/12/15 · arxiv updated 2009/12/01
Let A=A0+A1+A2+... be a Gerstenhaber algebra generated by A0 and A1. Given a degree -1 operator D on A0 + A1, we find the condition on D that makes A a BV-algebra. Subsequently, we apply it to the Gerstenhaber or BV algebra associated to a Lie algebroid and obtain a global proof of the correspondence between BV-generators and flat connections.