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Biflat F‐structures as differential bicomplexes and Gauss–Manin connections

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 786-808, March 2025.
Abstract We show that a biflat F‐structure (∇,∘,e,∇∗,∗,E)$(\nabla,\circ,e,\nabla ^*,*,E)$ on a manifold M$M$ defines a differential bicomplex (d∇,dE∘∇∗)$(d_{\nabla },d_{E\circ \nabla ^*})$ on forms with value on the tangent sheaf of the manifold. Moreover, the sequence of vector fields defined recursively by d∇X(α+1)=dE∘∇∗X(α)$d_{\nabla }X_{(\alpha +1)}
Alessandro Arsie, Paolo Lorenzoni
wiley +1 more source

Deformations of chiral algebras and quantum cohomology of toric varieties

, 2000
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential.
Malikov, F., Schechtman, V.
core

Reconstruction of the stacky approach to de Rham cohomology [PDF]

, 2022
Shubhodip Mondal
openalex +1 more source

Motives and algebraic de Rham cohomology [PDF]