Chern character for twisted complexes

2007/10/02 by Paul Bressler, Alexander Gorokhovsky, Bressler, Paul +5
Mathematics · #19E99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.0710.0643

openalex publication_date 2007/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a Chern character of a perfect complex of twisted modules over an algebroid stack.

Citations

• Deformations of gerbes on smooth manifolds
• Relative Algebraic K-Theory and Cyclic Homology
• On the Gauss-Manin connection in cyclic homology
• Riemann-Roch theorems via deformation quantization

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• Caractères de Chern, traces équivariantes et géométrie algébrique dérivée
• The Chern-Galois character
• A Chern-Weil formula for the Chern character of a perfect curved module
• Chern character for twisted K-theory of orbifolds