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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.

### Most cited references6

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### Singularities at infinity and their vanishing cycles

(1995)
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### Manifolds as open books

(1973)
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### Fibered knots and algebraic singularities

(1974)
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### Author and article information

###### Journal
22 January 2008
0801.3328 10.1007/s10711-009-9449-z
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