Dévissage for periodic cyclic homology of complete intersections

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) (K)-theory and homology; cyclic homology and cohomology (19D55) Derived categories and commutative rings (13D09) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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Curved \(A_\infty\) algebras and Landau-Ginzburg models
The closed state space of affine Landau-Ginzburg B-models
Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
A category of kernels for equivariant factorizations and its implications for Hodge theory
On the vanishing of Hochster's \(\theta\) invariant
Knörrer periodicity and Bott periodicity
Compact generators in categories of matrix factorizations
A category of kernels for equivariant factorizations. II: Further implications
Matrix factorizations and link homology. II.
On the cyclic homology of exact categories
DG quotients of DG categories.
Adams operations on matrix factorizations
A Chern-Weil formula for the Chern character of a perfect curved module
A Landau-Ginzburg mirror theorem via matrix factorizations
Notes on matrix factorizations and knot homology
Topological \(K\)-theory of equivariant singularity categories
Equivariant Hodge theory and noncommutative geometry
Standard conjecture \(D\) for matrix factorizations
Negative \(K\)-theory of derived categories
Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space
A proof of a conjecture of Shklyarov
Topological \(K\)-theory of complex noncommutative spaces
Hochschild (co)homology of the second kind. I.
The derived category of a graded Gorenstein ring
Ind-coherent complexes on loop spaces and connections
Hodge theoretic aspects of mirror symmetry
Homological Algebra on a Complete Intersection, with an Application to Group Representations
Higher algebraic K-theory: I
The Gysin triangle via localization and 𝐴¹-homotopy invariance
ATIYAH CLASS AND CHERN CHARACTER FOR GLOBAL MATRIX FACTORISATIONS
Homological Theory of Representations
Cyclic Homology of Categories of Matrix Factorizations
Non-commutative Hodge structures: Towards matching categorical and geometric examples
Matrix factorizations and link homology
Des catégories abéliennes
On the De Rham cohomology of algebraic varieties
Matrix factorizations and higher residue pairings

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