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On the Topology of the Milnor Fibration

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Abstract

In this paper we present new results about the topology of the Milnor fibrations of analytic function-germs with a special attention to the topology of the fibers. In particular, we provide a short review on the existence of the Milnor fibrations in the real and complex cases. This allows us to compare our results with the previous ones.

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Notes

  1. In this case we say that 0 is an isolated singularity, or an isolated critical point, of g.

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Acknowledgements

The authors would like to express thanks to the anonymous referee for important comments which improved the presentation of the paper. They would also like to thank Raimundo Araújo dos Santos for helpful discussions.

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Authors and Affiliations

  1. Faculty of Mathematics, Federal University of Uberlândia, Uberlândia, Minas Gerais, Brazil

    T. O. Souza

  2. Departamento de Matemática, Universidade de São Paulo, Instituto de Matemática e Estadística-IME/USP, R. do Matão, 1010, Butantã, CEP:05508-090, São Paulo, Brasil

    C. A. I. Zapata

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  1. T. O. Souza
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  2. C. A. I. Zapata
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Correspondence to C. A. I. Zapata.

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C. A. I. Zapata would like to thank grants #2016/18714-8, #2018/23678-6 and #2022/03270-8, São Paulo Research Foundation (FAPESP) for financial support.

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Souza, T.O., Zapata, C.A.I. On the Topology of the Milnor Fibration. Bull Braz Math Soc, New Series 54, 6 (2023). https://doi.org/10.1007/s00574-022-00316-6

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