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arXiv · 1804.08400

Moduli of surface diffeomorphisms with cubic tangencies

Shinobu Hashimoto
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Abstract

In this paper, we study conjugacy invariants for 2-dimensional diffeomorphisms with homoclinic cubic tangencies (two-sided tangencies of the lowest order) under certain open conditions. Ordinary arguments used in past studies of conjugacy invariants associated with one-sided tangencies do not work in the two-sided case. We present a new method which is applicable to the two-sided case.

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Shinobu Hashimoto. 2018-04-23. Moduli of surface diffeomorphisms with cubic tangencies. https://doi.org/10.3836/tjm%2F1502179278

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