Singular fibers of stable maps of manifold pairs and their applications

Osamu Saeki, Takahiro Yamamoto

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抜粋

Let (M, N) be a manifold pair, where M is a closed 3-dimensional manifold and N is a closed 2-dimensional submanifold of M. In this paper, we first classify singular fibers of C stable maps of (M, N) into surfaces. Then, we compute the cohomology groups of the associated universal complex of singular fibers, and obtain certain cobordism invariants for Morse functions on manifold pairs (M′, N′), where M′ is a closed surface and N′ is a closed 1-dimensional submanifold of M′. We also give the 2-colored versions of all these results, when the submanifold separates the ambient manifold into two parts.

元の言語英語
ホスト出版物のタイトルSingularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3
編集者Jawad Snoussi, Raimundo Nonato Araujo dos Santos, Marcelo J. Saia, David Mond, Aurelio Menegon Neto
出版者Springer New York LLC
ページ259-294
ページ数36
ISBN(印刷物)9783319736389
DOI
出版物ステータス出版済み - 1 1 2018
イベント2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015 - Salvador, ブラジル
継続期間: 7 13 20157 17 2015

出版物シリーズ

名前Springer Proceedings in Mathematics and Statistics
222
ISSN(印刷物)2194-1009
ISSN(電子版)2194-1017

その他

その他2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015
ブラジル
Salvador
期間7/13/157/17/15

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • これを引用

    Saeki, O., & Yamamoto, T. (2018). Singular fibers of stable maps of manifold pairs and their applications. : J. Snoussi, R. N. Araujo dos Santos, M. J. Saia, D. Mond, & A. Menegon Neto (版), Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3 (pp. 259-294). (Springer Proceedings in Mathematics and Statistics; 巻数 222). Springer New York LLC. https://doi.org/10.1007/978-3-319-73639-6_8