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arXiv · 1202.4954

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

Aleksandr L. Anisimov·Vladimir V. Vershinin
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Abstract

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.

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Aleksandr L. Anisimov, Vladimir V. Vershinin. 2012-02-22. Symplectic Cobordism in Small Dimensions and a Series of Elements of Order Four. https://arxiv.org/abs/1202.4954

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