A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
A Bilinear Form for Spin Manifolds
Transactions of the American Mathematical Society
This paper studies the bilinear form on Hi( M; Z2) defined by [x, y] = xSq2 y[M] when M is a closed Spin manifold of dimension 2j + 2. In analogy with the work of Lusztig, Milnor, and Peterson for oriented manifolds, the rank of this form on integral classes gives rise to a cobordism invariant. Of course, these results are completely analogous to the work of Lusztig, Milnor, and Peterson [LMP], or originally Browder [Bt], on the form (x, y) = xSql y [M] for oriented manifolds of dimension 4k +doi:10.2307/2000360 fatcat:2cpzblvcurdtbjs7kw245njqhi