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Toral classes and the Gromov-Lawson-Rosenberg Conjecture for elementary abelian 2-groups

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Abstract.

Let π be a finite elementary abelian 2-group and let Ω n (Bπ) denote the corresponding spin bordism group. We show that the so-called toral bordism classes in Ω n (Bπ) for n≧ 3 can be represented by singular manifolds which admit a metric of positive scalar curvature.

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Correspondence to Michael Joachim.

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Received: 9 May 2003; revised manuscript accepted: 27 April 2004

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Joachim, M. Toral classes and the Gromov-Lawson-Rosenberg Conjecture for elementary abelian 2-groups. Arch. Math. 83, 461–466 (2004). https://doi.org/10.1007/s00013-004-1080-5

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  • DOI: https://doi.org/10.1007/s00013-004-1080-5

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