Vol. 80, No. 1, 1979

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Three-dimensional open books constructed from the identity map

Maurice Gilmore

Vol. 80 (1979), No. 1, 137–139
Abstract

Three-dimensional manifolds are constructed as open books, using the identity diffeomorphism. The open book constructed in this way with (non)orientable page of Euler characteristic χ is the connected sum of (1 χ) copies of the (non)orientable S2 bundle over S1

Mathematical Subject Classification 2000
Primary: 57N10
Milestones
Received: 28 November 1976
Published: 1 January 1979
Authors
Maurice Gilmore