On the topology of stable maps

Nicolas Dutertre; Toshizumi Fukui

doi:10.2969/jmsj/06610161

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

On the topology of stable maps

Nicolas Dutertre, Toshizumi Fukui

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

JOURNAL FREE ACCESS

2014 Volume 66 Issue 1 Pages 161-203

DOI https://doi.org/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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