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Algebra i Analiz, 2009, Volume 21, Issue 3, Pages 145–164 (Mi aa1143)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Exotic invariant for 6-manifolds: a direct construction

A. V. Zhubr

Department of Mathematics of Komi Scientific Center of Ural Branch of RAS, Syktyvkar, Russia
Full-text PDF (328 kB) Citations (1)
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Abstract: Some of the author's previous works, dealing with the classification problem for simply connected closed 6-manifolds, contain a construction of a certain “exotic” invariant $\Gamma$. This construction is substantially indirect and based on nontrivial calculations. In the present paper, a direct construction is suggested, which does not depend on the calculations mentioned and involves only some simple surgery, plus some well-known identities for Stiefel-Whitney and Pontryagin classes, namely, “modulo 2” and “modulo 4” Wu formulas.
Received: 20.05.2008
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 3, Pages 469–482
DOI: https://doi.org/10.1090/S1061-0022-10-01104-0
Bibliographic databases:
Document Type: Article
MSC: 57N15, 57R55
Language: Russian
Citation: A. V. Zhubr, “Exotic invariant for 6-manifolds: a direct construction”, Algebra i Analiz, 21:3 (2009), 145–164; St. Petersburg Math. J., 21:3 (2010), 469–482
Citation in format AMSBIB
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\pages 469--482
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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