The $\hat{\Gamma}$-genus and a regularization of an $S^1$-equivariant Euler class
Mathematical Physics
2008-09-23 v4 math.MP
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 -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.
Cite
@article{arxiv.0804.2714,
title = {The $\hat{\Gamma}$-genus and a regularization of an $S^1$-equivariant Euler class},
author = {Rongmin Lu},
journal= {arXiv preprint arXiv:0804.2714},
year = {2008}
}
Comments
14 pages; version to appear in J. Phys. A