An integral lift of the Gamma-genus

Abstract

The Hirzebruch genus of complex-oriented manifolds associated to the Gamma-function lifts to a ring-homomorphism defined by a family of deformations of the Dirac operator, parametrized by the homogeneous space Sp/U.

References updated, and a few small remarks added

References in corpus (2)

• The $\hat{\Gamma }$-genus and a regularization of an $S^1$-equivariant Euler class
• The Cosmic Galois group as Koszul dual to Waldhausen's A(pt)