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Article Dans Une Revue Journal of Homotopy and Related Structures Année : 2012

Symplectic Cobordism in Small Dimensions and a Series of Elements of Order Four

Résumé

We present the structure of symplectic cobordism ring $MSp_{*}$ in dimensions up to 51 and give a construction of an infinite series of elements $\Gamma_i$, $ i=1, 3,4, ...$, of order four in this ring, where $\operatorname{dim} \, \Gamma_i=8i+95$. The key element of the series is $\Gamma_1$ in dimension 103.

Dates et versions

hal-00818613 , version 1 (28-04-2013)

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Aleksandr L. Anisimov, Vladimir V. Vershinin. Symplectic Cobordism in Small Dimensions and a Series of Elements of Order Four. Journal of Homotopy and Related Structures, 2012, 7 (1), pp.31 - 152. ⟨10.1007/s40062-012-0005-4⟩. ⟨hal-00818613⟩
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