The Γ-genus and a regularization of an S¹-equivariant Euler class
Date
2008
Authors
Lu, R.
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Advisors
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Journal article
Citation
Journal of Physics A: Mathematical and Theoretical, 2008; 41(42):425204-1-425204-13
Statement of Responsibility
Rongmin Lu
Conference Name
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.