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On a higher dimensional generalization of Seifert fibrations

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Abstract

The notion of generalized Seifert fibration is introduced; it is shown that the projections of certain Eschenburg 7-manifolds \(W_{\bar n}^7 \) onto ℂP2 define such fibrations; and their characteristic classes corresponding to the generators of H 2(B(U(2)/ℤ2n );ℤ) are defined.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

    I. A. Taimanov

  2. Department of Mechanics and Mathematics, Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    I. A. Taimanov

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  1. I. A. Taimanov
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Correspondence to I. A. Taimanov.

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Taimanov, I.A. On a higher dimensional generalization of Seifert fibrations. Proc. Steklov Inst. Math. 288, 145–152 (2015). https://doi.org/10.1134/S0081543815010113

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  • DOI: https://doi.org/10.1134/S0081543815010113

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