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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
                Article
                10.1007/s10711-009-9449-z
                0801.3328
                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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