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

Mathematics – Algebraic Topology

Scientific paper

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117 pages, 18 tables

Scientific paper

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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