An exotic invariant for 6-manifolds: The direct construction
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A. V. Zhubr
Translated by: the author - St. Petersburg Math. J. 21 (2010), 469-482
- DOI: https://doi.org/10.1090/S1061-0022-10-01104-0
- Published electronically: March 1, 2010
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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.References
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Bibliographic Information
- A. V. Zhubr
- Affiliation: Mathematics Department, Komi Scientific Center, Urals Division, Russian Academy of Sciences, Chernova Street 3a, Syktyvkar 167998, Russia
- Email: a-v-zhubr@yandex.ru
- Received by editor(s): May 20, 2008
- Published electronically: March 1, 2010
- Additional Notes: This work is partially supported by the program “Problems in non-linear dynamics” of the Presidium of Russian Academy of Sciences
- © Copyright 2010 American Mathematical Society
- Journal: St. Petersburg Math. J. 21 (2010), 469-482
- MSC (2000): Primary 57N15, 57R55
- DOI: https://doi.org/10.1090/S1061-0022-10-01104-0
- MathSciNet review: 2588766