Journal of the Mathematical Society of Japan

On the topology of stable maps

Nicolas DUTERTRE and Toshizumi FUKUI

Full-text: Open access

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.

Article information

Source
J. Math. Soc. Japan, Volume 66, Number 1 (2014), 161-203.

Dates
First available in Project Euclid: 24 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1390600841

Digital Object Identifier
doi:10.2969/jmsj/06610161

Mathematical Reviews number (MathSciNet)
MR3161397

Zentralblatt MATH identifier
1294.57018

Subjects
Primary: 57R45: Singularities of differentiable mappings
Secondary: 57R20: Characteristic classes and numbers 57R70: Critical points and critical submanifolds 58C25: Differentiable maps

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

Citation

DUTERTRE, Nicolas; FUKUI, Toshizumi. On the topology of stable maps. J. Math. Soc. Japan 66 (2014), no. 1, 161--203. doi:10.2969/jmsj/06610161. https://projecteuclid.org/euclid.jmsj/1390600841


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References

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