Beyond the elliptic genus

Orlando Alvarez; I. M. Singer

doi:10.1016/S0550-3213(02)00233-X

Beyond the elliptic genus

Orlando Alvarez, I. M. Singer

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

7 Scopus citations

Abstract

Given a Riemann surface ∑ and a Riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and it shares some similar properties.

Original language	English (US)
Pages (from-to)	309-344
Number of pages	36
Journal	Nuclear Physics B
Volume	633
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00233-X
State	Published - Jun 1 2002
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(02)00233-X

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title = "Beyond the elliptic genus",

abstract = "Given a Riemann surface ∑ and a Riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and it shares some similar properties.",

author = "Orlando Alvarez and Singer, {I. M.}",

note = "Funding Information: We would like to thank D. Freed, Joe Harris, M.J. Hopkins, T. Ramadas, and Paul Windey for illuminating discussions. The work of O.A. was supported in part by National Science Foundation grant PHY-9870101. I.M.S. acknowledges support from DOE contract # DE-FG02-88ER25066. ",

year = "2002",

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doi = "10.1016/S0550-3213(02)00233-X",

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T1 - Beyond the elliptic genus

AU - Alvarez, Orlando

AU - Singer, I. M.

N1 - Funding Information: We would like to thank D. Freed, Joe Harris, M.J. Hopkins, T. Ramadas, and Paul Windey for illuminating discussions. The work of O.A. was supported in part by National Science Foundation grant PHY-9870101. I.M.S. acknowledges support from DOE contract # DE-FG02-88ER25066.

PY - 2002/6/1

Y1 - 2002/6/1

N2 - Given a Riemann surface ∑ and a Riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and it shares some similar properties.

AB - Given a Riemann surface ∑ and a Riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and it shares some similar properties.

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U2 - 10.1016/S0550-3213(02)00233-X

DO - 10.1016/S0550-3213(02)00233-X

M3 - Article

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SP - 309

EP - 344

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

Beyond the elliptic genus

Abstract

ASJC Scopus subject areas

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