On the Stiefel-whitney Numbers of Complex Manifolds and of Spin Manifolds
نویسنده
چکیده
Proof. First consider the following example of the Conner-Floyd theorem. Let H,,,,,(C) denote a non-singular hypersurface of degree (1,l) in the product P,,,(C) x P.(C). b terms of homogeneous co-ordinates (wO, . . . , w,) and (z,,, . . . , .z”) with m 5 n this hypersurface can be defined as the locus w,,z, + wlzl + . . . + w,,,z, = 0. It can also be thought of as a P,_,(C)-bundle over P,(C).] Then H,JC) is non-oriented cobordant to the square H,,,,,(R) x H,,,,,(R) of the corresponding real variety.
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تاریخ انتشار 2001