Milnor Hypersurfaces

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== References ==
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[[Complex bordism#Milnor hypersurfaces]] -- the treatment here is excellent, but it's good to have a separate page for reference purposes.
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[[Category:Manifolds]]

Revision as of 21:51, 31 May 2012


This page has not been refereed. The information given here might be incomplete or provisional.

1 Introduction

The Milnor hypersurfaces, denoted H_{ij}, are a family of smooth manifolds that generate (with redundancy) the complex bordism ring.

2 Construction and examples

For fixed natural numbers i \geq j \geq 0, H_{ij} is defined as the hypersurface in \CP^i \times \CP^j satisfying the equation x_0z_0 + ... + x_jz_j = 0, where x_k and z_k are homogeneous coordinates for \CP^i and \CP^j respectively.

3 References

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