Chern characters for curved dg-algebras
Kuerak Chung, Bumsig Kim, Taejung Kim
TL;DR
This paper develops an explicit formula for the Chern character of perfect modules over curved dg-algebras by constructing a quasi-inverse to a specific cochain map on negative cyclic complexes.
Contribution
It introduces a method to explicitly compute the Chern character in the setting of curved dg-algebras, extending classical constructions.
Findings
Explicit formula for the Chern character of perfect modules.
Construction of a quasi-inverse to a cochain map on negative cyclic complexes.
Application to curved dg-algebras and their modules.
Abstract
We construct a quasi-inverse of the cochain map on the negative cyclic complexes of the second kind induced from the quasi-Yoneda embedding on a curved dg algebra. This gives an explicit formula for the Chern character of a perfect module.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra