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

dc.creatorLu, Rongmin
dc.date2008-04-17
dc.date2008-08-28
dc.date.accessioned2026-07-07T10:04:11Z
dc.date.available2026-07-07T10:04:11Z
dc.descriptionWe 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 $\hatΓ$-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.
dc.description14 pages; version to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0804.2714
dc.identifierhttp://arxiv.org/abs/0804.2714
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 425204
dc.identifierdoi:10.1088/1751-8113/41/42/425204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169575
dc.subjectMathematical Physics
dc.subject57R20 (Primary) 40A20, 55P35, 58J20 (Secondary)
dc.titleThe $\hatΓ$-genus and a regularization of an $S^1$-equivariant Euler class
dc.typetext

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