Publications of the Research Institute for Mathematical Sciences

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

Orientations of Spin Bundles and Symplectic Cobordism

Vassily Gorbunov[1] and Nigel Ray[2]

(1) Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Acad. Koptyug avenue, 630090, Novosibirsk, Russian Federation
(2) School of Mathematics, University of Manchester, Oxford Road, M13 9PL, 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