Singular fibers of stable maps of manifold pairs and their applications
type: Item
instance of: scholarly article
title: Singular fibers of stable maps of manifold pairs and their applications
zbMATH Open document ID: 1415.57021
DOI: 10.1007/978-3-319-73639-6_8
author: Osamu Saeki
author: Takahiro Yamamoto
publication date: 2019-01-22T00:00:00Z
review text: In this interesting paper, the authors study singular fibers of proper $C^{\infty}$ stable maps of $(3,2)$-dimensional manifold pairs into surfaces, and they obtain certain cobordism invariants for stable Morse functions on $(2,1)$-dimensional pairs. The paper is organized as follows: classification of singular fibers, co-existence of singular fibers, universal complex of singular fibers, cobordisms of singular maps. Two appendices about the cobordism group of manifold pairs of dimension $(2,1)$ and the cobordism group of $2$-colored manifold pairs of dimension $(2,1)$ are given at the end of the paper. For the entire collection see [Zbl 1392.58001].
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 57R35
Mathematics Subject Classification ID: 57R90
Mathematics Subject Classification ID: 58K15
Mathematics Subject Classification ID: 58K65
zbMATH DE Number: 7005175
zbMATH Keywords: manifold pair
zbMATH Keywords: stable map
zbMATH Keywords: singular fiber
zbMATH Keywords: cobordism
zbMATH Keywords: 2-coloring
zbMATH Keywords: Morse function
MaRDI profile type: Publication
full work available at URL: 978-3-319-73639-6 8
OpenAlex ID: W2792841269
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description: scientific article; zbMATH DE number 7005175