Higher elliptic genera

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dc.creatorBorisov, L.
dc.creatorLibgober, A.
dc.date2006-02-17
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:10:44Z
dc.date.available2026-07-07T10:10:44Z
dc.descriptionWe show that elliptic classes introduced in our earlier paper for spaces with infinite fundamental groups yield Novikov's type higher elliptic genera which are invariants of K-equivalence. This include, as a special case, the birational invariance of higher Todd classes studied recently by J.Rosenberg and J.Block-S.Weinberger. We also prove the modular properties of these genera, show that they satisfy a McKay correspondence, and consider their twist by discrete torsion.
dc.descriptionComments on lemma 3.1 deleted. Final version
dc.identifierhttps://arxiv.org/abs/math/0602387
dc.identifierhttp://arxiv.org/abs/math/0602387
dc.identifierMath. Res. Lett. 15 (2008), no. 3, 511--520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171678
dc.subjectAlgebraic Geometry
dc.subject14J50, 58J03, 14M, 11F
dc.titleHigher elliptic genera
dc.typetext

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