Equivariant Hodge theory and noncommutative geometry

Cyclic Homology of Categories of Matrix Factorizations

(2017) Alexander I Efimov   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Bogomolov–Tian–Todorov theorems for Landau–Ginzburg models

(2017) Ludmil Katzarkov et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

Integral transforms for coherent sheaves

(2017) David Ben-Zvi et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Geometricity for derived categories of algebraic stacks

(2016) Daniel Bergh et al.   Selecta Mathematica-New Series

Coherent analogues of matrix factorizations and relative singularity categories

(2015) Alexander I. Efimov et al.   Algebra & Number Theory

Étale motives

(2015) Denis-Charles Cisinski et al.   COMPOSITIO MATHEMATICA

Topological K-theory of complex noncommutative spaces

(2015) Anthony Blanc   COMPOSITIO MATHEMATICA

The special McKay correspondence and exceptional collections

(2015) Akira Ishii et al.   TOHOKU MATHEMATICAL JOURNAL

The derived category of a GIT quotient

(2014) Daniel Halpern-Leistner   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

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

(2014) D. Shklyarov   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities

(2013) Matthew Satriano   ANNALES DE L INSTITUT FOURIER

On Some Finiteness Questions for Algebraic Stacks

(2013) Vladimir Drinfeld et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

A universal characterization of higher algebraic K-theory

(2013) Andrew J Blumberg et al.   GEOMETRY & TOPOLOGY

The closed state space of affine Landau–Ginzburg B-models

(2013) Ed Segal   Journal of Noncommutative Geometry

Global matrix factorizations

(2013) Kevin H. Lin et al.   MATHEMATICAL RESEARCH LETTERS

Non-commutative Hodge-to-de Rham Degeneration via the Method of Deligne-Illusie

(2013) Dmitry Kaledin   Pure and Applied Mathematics Quarterly

Homotopy types of topological stacks

(2012) Behrang Noohi   ADVANCES IN MATHEMATICS

Equivalence of the Derived Category of a Variety with a Singularity Category

(2012) Mehmet Umut Isik   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Compact generators in categories of matrix factorizations

(2011) Tobias Dyckerhoff   DUKE MATHEMATICAL JOURNAL

Matrix factorizations for nonaffine LG–models

(2011) Dmitri Orlov   MATHEMATISCHE ANNALEN

Integral transforms and Drinfeld centers in derived algebraic geometry

(2010) David Ben-Zvi et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Higher $K$ -theory via universal invariants

(2008) Gonçalo Tabuada   DUKE MATHEMATICAL JOURNAL