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- W4386556189 abstract "We investigate vertical isomorphisms of Fedosov dg manifolds associated with a Lie pair $(L,A)$, i.e. a pair of a Lie algebroid $L$ and a Lie subalgebroid $A$ of $L$. The construction of Fedosov dg manifolds involves a choice of a splitting and a connection. We prove that, given any two choices of a splitting and a connection, there exists a unique vertical isomorphism, determined by an iteration formula, between the two associated Fedosov dg manifolds. As an application, we provide an explicit formula for the map $mathrm{pbw}_2^{-1}circ mathrm{pbw}_1$ associated with two Poincar'{e}--Birkhoff--Witt isomorphisms that arise from two choices of a splitting and a connection." @default.
- W4386556189 created "2023-09-09" @default.
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- W4386556189 date "2023-09-06" @default.
- W4386556189 modified "2023-10-16" @default.
- W4386556189 title "Vertical isomorphisms of Fedosov dg manifolds associated with a Lie pair" @default.
- W4386556189 doi "https://doi.org/10.48550/arxiv.2309.02826" @default.
- W4386556189 hasPublicationYear "2023" @default.
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