The Character Map in Non-abelian Cohomology
The Character Map in Non-abelian Cohomology
The Chern character on K-theory has a natural extension to arbitrary generalized cohomology theories, known as the Chern-Dold character.Here we further extend this to (twisted, differential) non-abelian cohomology theories, where its target is a non-abelian de Rham cohomology of twisted L ∞ -algebra valued differential forms.The construction amounts to leveraging …