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Symplectic Cobordism in Small Dimensions and a Series of Elements of Order Four
Journal article   Peer reviewed

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

Aleksandr L. Anisimov and Vladimir V. Vershinin
Journal of Homotopy and Related Structures, Vol.7(1), pp.31 - 152
2012

Abstract

Symplectic cobordism ring Adams-Novikov spectral sequence Massey product Primary 55N22, 55T15, 57R90.
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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