Index map, σ-connections, and Connes–Chern character in the setting of twisted spectral triples
Index map, σ-connections, and Connes–Chern character in the setting of twisted spectral triples
Twisted spectral triples are a twisting of the notion of spectral triples aimed at dealing with some type III geometric situations. In the first part of the article, we give a geometric construction of the index map of a twisted spectral triple in terms of σ-connections on finitely generated projective …