A Minimal Triangulation of the Hopf Map and its Application

Author: Madahar K.V.   Sarkaria K.S.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.82, Iss.1-3, 2000-10, pp. : 105-114

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Abstract

We give a minimal triangulation η: S^3_12→S^2_4 of the Hopf map hcolon S^3→S^2 and use it to obtain a new construction of the 9-vertex complex projective plane.