## 2 Citations

### Standard conjecture D for local stacky matrix factorizations

- Mathematics
- 2022

. We establish the non-commutative analogue of Grothendieck’s standard conjecture D for the diﬀerential graded category of G -equivariant matrix factorizations associated to an isolated hypersurface…

### A proof of a conjecture of Shklyarov

- MathematicsJournal of Noncommutative Geometry
- 2021

We prove a conjecture of Shklyarov concerning the relationship between K. Saito's higher residue pairing and a certain pairing on the periodic cyclic homology of matrix factorization categories.…

## References

SHOWING 1-10 OF 54 REFERENCES

### Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations

- Mathematics
- 2010

We study the category of matrix factorizations for an isolated hypersurface singularity. We compute the canonical bilinear form on the Hochschild homology of this category. We find explicit…

### Compact generators in categories of matrix factorizations

- Mathematics
- 2009

We study the category of matrix factorizations associated to the germ of an isolated hypersurface singularity. This category is shown to admit a compact generator which is given by the stabilization…

### An Index Theorem for Modules on a Hypersurface Singularity

- Mathematics
- 2011

A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of…

### Non-commutative Hodge structures: Towards matching categorical and geometric examples

- Mathematics
- 2011

The subject of the present work is the de Rham part of non-commutative Hodge structures on the periodic cyclic homology of differential graded algebras and categories. We discuss explicit formulas…

### Adams Operations on Matrix Factorizations

- Mathematics
- 2016

We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by…

### A note on Grothendieck's standard conjectures of type C and D

- Mathematics
- 2016

Grothendieck conjectured in the sixties that the even Kunneth projector (with respect to a Weil cohomology theory) is algebraic and that the homological equivalence relation on algebraic cycles…

### Mixed Hodge Structures and Singularities

- Mathematics
- 1998

1. Gauss-Manin connection 2. Limit mixed Hodge structure on the vanishing cohomology of an isolated hypersurface singularity 3. The period map of a m-constant deformation of an isolated hypersurface…