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Type: Journal article
Title: The Γ-genus and a regularization of an S¹-equivariant Euler class
Other Titles: The Gamma-genus and a regularization of an S(1)-equivariant Euler class
Author: Lu, R.
Citation: Journal of Physics A: Mathematical and Theoretical, 2008; 41(42):425204-1-425204-13
Publisher: IOP Publishing Ltd
Issue Date: 2008
ISSN: 1751-8113
Statement of
Rongmin Lu
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 Γover-cap-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.
DOI: 10.1088/1751-8113/41/42/425204
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