Abstract
We give a minimal triangulation η: S 312 →S 24 of the Hopf map h: S 3→S 2 and use it to obtain a new construction of the 9-vertex complex projective plane.
Similar content being viewed by others
References
Kühnel, W. and Banchoff, T. F.: The 9-vertex complex projective plane, Math. Intelligencer 5 (1983), 11–22.
Bagchi, B. and Datta, B.: On Kühnel's 9-vertex complex projective plane, Geom. Dedicata 50 (1994), 1–13.
Steenrod, N. E.: The Topology of Fiber Bundles, Princeton Univ. Press, 1951.
Berger, M.: Geometry I, II, Springer-Verlag, New York, 1987.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Madahar, K., Sarkaria, K. A Minimal Triangulation of the Hopf Map and its Application. Geometriae Dedicata 82, 105–114 (2000). https://doi.org/10.1023/A:1005102800486
Issue Date:
DOI: https://doi.org/10.1023/A:1005102800486