By the Hirzebruch-Riemann-Roch theorem the index of the Dolbeault operator is the Todd genus (e.g. Gilkey 95, section 5.2). (More generally so for the Spin^c Dirac operator).
partition functions in quantum field theory as indices/genera/orientations in generalized cohomology theory:
Named after John Arthur Todd
Reviews include
Peter Gilkey, section 5.2 of Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem, 1995
Wikipedia, Todd class
Discussion of Todd classes for noncommutative topology/in KK-theory is in
Review of the Todd genus with an eye towards generalization to the Witten genus is in the introduction of
Last revised on March 21, 2014 at 08:36:27. See the history of this page for a list of all contributions to it.