Normal Euler classes of knotted surfaces and triple points on projections
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- by J. Scott Carter and Masahico Saito PDF
- Proc. Amer. Math. Soc. 125 (1997), 617-623 Request permission
Abstract:
We present a new formula relating the normal Euler numbers of embedded surfaces in $4$-space and the number of triple points on their projections into $3$-space. This formula generalizes Banchoff’s formula between normal Euler numbers and branch points on the projections.References
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Additional Information
- J. Scott Carter
- Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
- MR Author ID: 682724
- Email: carter@mathstat.usouthal.edu
- Masahico Saito
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33620
- MR Author ID: 196333
- Email: saito@math.usf.edu
- Received by editor(s): July 27, 1995
- Additional Notes: Presented at the 872nd meeting of the AMS, Tuscaloosa.
- Communicated by: Ronald Stern
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 617-623
- MSC (1991): Primary 57Q45
- DOI: https://doi.org/10.1090/S0002-9939-97-03760-X
- MathSciNet review: 1372025