JournalsprimsVol. 28 , No. 1DOI 10.2977/prims/1195168855

Orientations of <i>Spin</i> Bundles and Symplectic Cobordism

  • Vassily Gorbunov

    Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
  • Nigel Ray

    University of Manchester, UK
Orientations of <i>Spin</i> Bundles and Symplectic Cobordism cover

Abstract

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 ϕ_i_ in the symplectic bordism ring.