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More Examples Like the Figure-Eight Sphere in R4
by
Frank Farris

MacMillan 115

Abstract: In our 1993 paper, Banchoff and I gave a proof that concretized a known equation involving characteristic classes of oriented surfaces in 4-space (considered as complex 2-space): the signed count of the complex points on the surface added together with the normal and tangential Euler numbers is zero. The Grassmann manifold G(2,4) and its double-sphere coordinatization were key ingredients. I will review the proof and show images of additional examples.



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Created: 06 Sep 2003
Last modified: 10 Oct 2003 16:14:58
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