Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
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Publication:442756
DOI10.1215/00127094-1645540zbMath1249.14001arXiv1002.2116OpenAlexW2963570293WikidataQ114060433 ScholiaQ114060433MaRDI QIDQ442756
Alexander Polishchuk, Arkady Vaintrob
Publication date: 4 August 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.2116
Noncommutative algebraic geometry (14A22) Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25)
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Cites Work
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- Homological mirror symmetry for curves of higher genus
- Formal completions and idempotent completions of triangulated categories of singularities
- Hochster's theta invariant and the Hodge-Riemann bilinear relations
- Compact generators in categories of matrix factorizations
- On the relation between open and closed topological strings
- Topological conformal field theories and Calabi-Yau categories
- The homotopy theory of dg-categories and derived Morita theory
- The Mukai pairing. I: A categorical approach
- A generalized Hirzebruch Riemann-Roch theorem
- McKay correspondence for Landau-Ginzburg models
- Characterizations of finitely determined equivariant map germs
- The cyclic homology of the group rings
- On the cyclic homology of ringed spaces and schemes
- On the cyclic homology of exact categories
- Equivalence and finite determinacy of mappings
- Riemann-Roch theorems via deformation quantization. I
- Cohen-Macaulay modules on hypersurface singularities. II
- Topological correlators in Landau-Ginzburg models with boundaries
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Matrix factorizations and singularity categories for stacks
- Representation and character theory in 2-categories
- Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Decent intersection and Tor-rigidity for modules over local hypersurfaces
- Residues and duality for singularity categories of isolated Gorenstein singularities
- Lectures on DG-Categories
- Stability of Landau-Ginzburg branes
- Hodge theoretic aspects of mirror symmetry
- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- A Second note on Symmetry of Singularities
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- On the homology of graded algebras
- Deriving DG categories
- Moduli of objects in dg-categories
- Matrix factorizations and link homology