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Real Polynomial Maps and Singular Open Books at Infinity

Raimundo N. Araújo Dos Santos, Ying Chen, Mihai Tibăr

Abstract


We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres $S^{m-1}_R$ of large enough radius $R$. We obtain new classes of real polynomial maps $\mathsf{R}^m \to \mathsf{R}^p$ which induce such structures.

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DOI: http://dx.doi.org/10.7146/math.scand.a-23296

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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