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Volume 28, Issue 1, 1992, pp. 39–55
DOI: 10.2977/prims/1195168855

Published online: 1992-02-29

Orientations of Spin Bundles and Symplectic Cobordism

Vassily Gorbunov[1] and Nigel Ray[2]

(1) Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
(2) University of Manchester, UK

We analyse certain cofibrations of projective spaces in terms of Thorn complexes of Spin bundles, and by applying the symplectic cobordism functor we are able to deduce new relations amongst the elements ϕi in the symplectic bordism ring.

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Gorbunov Vassily, Ray Nigel: Orientations of Spin Bundles and Symplectic Cobordism. Publ. Res. Inst. Math. Sci. 28 (1992), 39-55. doi: 10.2977/prims/1195168855