Higher elliptic genera

Lev Borisov; Anatoly Libgober

doi:10.4310/mrl.2008.v15.n3.a10

Higher elliptic genera

Lev Borisov, Anatoly Libgober

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that elliptic classes introduced in [7] 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.

Original language	English (US)
Pages (from-to)	511-520
Number of pages	10
Journal	Mathematical Research Letters
Volume	15
Issue number	2-3
DOIs	https://doi.org/10.4310/mrl.2008.v15.n3.a10
State	Published - 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4310/mrl.2008.v15.n3.a10

Cite this

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abstract = "We show that elliptic classes introduced in [7] 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.",

author = "Lev Borisov and Anatoly Libgober",

year = "2008",

doi = "10.4310/mrl.2008.v15.n3.a10",

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AB - We show that elliptic classes introduced in [7] 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.

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DO - 10.4310/mrl.2008.v15.n3.a10

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VL - 15

SP - 511

EP - 520

JO - Mathematical Research Letters

JF - Mathematical Research Letters

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ER -

Higher elliptic genera

Abstract

All Science Journal Classification (ASJC) codes

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