A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map

Kaygun A.

Conference on Noncommutative Geometry and Global Analysis in Honor of Henri Moscovici, Bonn, Almanya, 29 Haziran - 04 Temmuz 2009, cilt.546, ss.171-179 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 546
  • Basıldığı Şehir: Bonn
  • Basıldığı Ülke: Almanya
  • Sayfa Sayıları: ss.171-179
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In 1998 Alain Connes and Henri Moscovici invented a cohomology theory for Hopf algebras and a characteristic map associated with the cohomology theory in order to solve a specific technical problem in transverse index theory. In the following decade, the cohomology theory they invented developed on its own under the name Hopf-cyclic cohomology. But the history of Hopf-cyclic cohomology and the characteristic map they invented remained intricately linked. In this survey article, we give an account of the development of the characteristic map and Hopf-cyclic cohomology.