首页|Polyvector fields and polydifferential operators associated with Lie pairs
Polyvector fields and polydifferential operators associated with Lie pairs
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
We prove that the spaces tot (Gamma(Lambda(center dot)Lambda(boolean OR))circle times(R) T-poly center dot) and (Gamma(Lambda(center dot)Lambda(boolean OR))circle times(R) D-poly center dot) associated with a Lie pair (L, A) each carry an L-infinity algebra structure canonical up to an L-infinity isomorphism with the identity map as linear part. These two spaces serve, respectively, as replacements for the spaces of formal polyvector fields and formal polydifferential operators on the Lie pair.L; A/. Consequently, both H-CE(center dot)(A,T-poly center dot) and H-CE(center dot)(A,D-poly center dot) admit unique Gerstenhaber algebra structures. Our approach is based on homotopy transfer and the construction of a Fedosov dg Lie algebroid (i.e. a dg foliation on a Fedosov dg manifold).
NSTL
