nLab
index theory

Entries

• index

  • analytical index

  • topological index

• index theorem

  • Atiyah-Singer index theorem

  • Mishchenko-Fomenko index theorem

Index theory naturally takes place in KK-theory.

References

• David Edwards, Lectures on index theory I, pdf, Lectures on index theory II, pdf, The Index Program for K-Theory with Local Coefficients, pdf
• Masaki Kashiwara, Pierre Schapira, Hochschild homology and microlocal Euler classes, arxiv/1203.4869