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math.AG2012★ 1 cited
The Dolbeault dga of the formal neighborhood of the diagonal
Shilin Yu
A well-known theorem of Kapranov states that the Atiyah class of the tangent bundle of a complex manifold makes the shifted tangent bundle into a Lie algebra obje…
math.AG2012★ 5 cited
Dolbeault dga of a formal neighborhood
Shilin Yu
Inspired by a work of Kapranov, we define the notion of Dolbeault complex of the formal neighborhood of a closed embedding of complex manifolds. This construction allows us to stud…