37 citations · 52 across the 11 of their papers we have counts for
4 papers · 1 filter
Todd class via homotopy perturbation theory
Shilin Yu
We compute the quantized cycle class of a closed embedding of complex manifolds defined by Grivaux using homotopy perturbation theory. In the case of a diagonal embedding, our appr…
Dolbeault dga and -algebroid of the formal neighborhood
Shilin Yu
We continue the study the Dolbeault dga of the formal neighborhood of an arbitary closed embedding of complex manifolds previously defined by the author in \cite{DolbeaultDGA}. The…
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…
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…