On the topology of stable maps

Nicolas DUTERTRE; Toshizumi FUKUI

doi:10.2969/jmsj/06610161

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Home > Journals > J. Math. Soc. Japan > Volume 66 > Issue 1 > Article

January, 2014 On the topology of stable maps

Nicolas DUTERTRE, Toshizumi FUKUI

J. Math. Soc. Japan 66(1): 161-203 (January, 2014). DOI: 10.2969/jmsj/06610161

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Abstract

We investigate how Viro's integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.

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Nicolas DUTERTRE. Toshizumi FUKUI. "On the topology of stable maps." J. Math. Soc. Japan 66 (1) 161 - 203, January, 2014. https://doi.org/10.2969/jmsj/06610161

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Published: January, 2014

First available in Project Euclid: 24 January 2014

zbMATH: 1294.57018

MathSciNet: MR3161397

Digital Object Identifier: 10.2969/jmsj/06610161

Subjects:

Primary: 57R45

Secondary: 57R20 , 57R70 , 58C25

Keywords: Euler characteristic , Euler integration , Morin maps , singularities of maps , Stable maps

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J. Math. Soc. Japan

Vol.66 • No. 1 • January, 2014

Mathematical Society of Japan

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Nicolas DUTERTRE, Toshizumi FUKUI "On the topology of stable maps," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 66(1), 161-203, (January, 2014)

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