The $\hatΓ$-genus and a regularization of an $S^1$-equivariant Euler class

Rongmin Lu

doi:10.1088/1751-8113/41/42/425204

paper

The $Γ^$ -genus and a regularization of an $S^{1}$ -equivariant Euler class

arXiv:0804.2714 · doi:10.1088/1751-8113/41/42/425204

Abstract

We show that a new multiplicative genus, in the sense of Hirzebruch, can be obtained by generalizing a calculation due to Atiyah and Witten. We introduce this as the $Γ^$ -genus, compute its value for some examples and highlight some of its interesting properties. We also indicate a connection with the study of multiple zeta values, which gives an algebraic interpretation for our proposed regularization procedure.

14 pages; version to appear in J. Phys. A

The Γ^-genus and a regularization of an S1-equivariant Euler class

Abstract

The $Γ^$ -genus and a regularization of an $S^{1}$ -equivariant Euler class