Hirzebruch–Riemann–Roch‐type formula for DG algebras

By D. Shklyarov. 2007

89 citations recorded by the source corpus.

For an arbitrary differential graded algebra A with finite‐dimensional total cohomology we introduce a pairing on the Hochschild homology of A, derive an explicit formula for the Chern characters of perfect A‐modules (the Chern characters take values in the Hochschild homology of A), and prove a Hirzebruch–Riemann–Roch‐type formula which expresses the Euler characteristic of the Hom‐complex between two perfect A‐modules in terms of the pairing of their Chern characters.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/456a7c2bdc5670423990fc3fcc843af54d84cbb1

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In Geometry and Topology

1. Timothy Perutz
2. Nick Sheridan
3. Sheel Ganatra
4. D. Auroux
5. P. Seidel
6. I. Smith
7. Yankı Lekili
8. M. Abouzaid

In Mathematical Physics

1. Timothy Perutz
2. Nick Sheridan
3. Sheel Ganatra
4. D. Auroux
5. P. Seidel
6. I. Smith
7. Yankı Lekili
8. M. Abouzaid

Citations in the corpus

• Mirror symmetry: from categories to curve counts (2015, background): “Because F ( X ) is smooth, the Mukai pairing is non-degenerate by [Shk12, Theorem 1.4].”