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Real map germs and higher open books

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      Abstract

      We present a general criterion for the existence of open book structures defined by real map germs \((\bR^m, 0) \to (\bR^p, 0)\), where \(m> p \ge 2\), with isolated critical point. We show that this is satisfied by weighted-homogeneous maps. We also derive sufficient conditions in case of map germs with isolated critical value.

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      Singularities at infinity and their vanishing cycles

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        Manifolds as open books

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          Fibered knots and algebraic singularities

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            Author and article information

            Journal
            22 January 2008
            0801.3328 10.1007/s10711-009-9449-z
            Custom metadata
            32S55, 57Q45, 32C40, 32S60
            originally sent to London Math Soc on Dec. 7, 2007. Published without Section 5 in Geom. Dedicata (2010), 147:177-185
            12 pages
            math.AG math.CV

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