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Normal Euler classes of knotted surfaces and triple points on projections |
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| Authors: | J. Scott Carter Masahico Saito |
| Affiliation: | Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688 ; Department of Mathematics, University of South Florida, Tampa, Florida 33620 |
| Abstract: | We present a new formula relating the normal Euler numbers of embedded surfaces in  -space and the number of triple points on their projections into  -space. This formula generalizes Banchoff's formula between normal Euler numbers and branch points on the projections. |
| Keywords: | Knotted surfaces normal Euler numbers checker-board coloring triple points branch points |
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