Chern character for twisted complexes
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan
TL;DR
This paper introduces a Chern character for perfect complexes of twisted modules over algebroid stacks, advancing the mathematical framework for twisted K-theory and related areas.
Contribution
It constructs a Chern character specifically for perfect complexes of twisted modules over algebroid stacks, a novel extension in algebraic geometry.
Findings
Defines a new Chern character for twisted modules
Establishes properties and compatibility with existing theories
Provides tools for computations in twisted K-theory
Abstract
We construct a Chern character of a perfect complex of twisted modules over an algebroid stack.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra