LINKING BETWEEN SINGULAR LOCUS AND REGULAR FIBERS

Osamu Saeki

LINKING BETWEEN SINGULAR LOCUS AND REGULAR FIBERS

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M rL which can be realized as the singular point set of a generic map M → R² that has L as an oriented framed regular fiber. Then, we study the linking behavior between the singular point set and regular fibers for generic maps of M into R².

Original language	English
Journal	Unknown Journal
Publication status	Published - Apr 1 2018

All Science Journal Classification (ASJC) codes

General

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title = "LINKING BETWEEN SINGULAR LOCUS AND REGULAR FIBERS",

abstract = "Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M rL which can be realized as the singular point set of a generic map M → R2 that has L as an oriented framed regular fiber. Then, we study the linking behavior between the singular point set and regular fibers for generic maps of M into R2.",

author = "Osamu Saeki",

year = "2018",

month = apr,

day = "1",

language = "English",

journal = "Quaternary International",

issn = "1040-6182",

publisher = "Elsevier Limited",

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AU - Saeki, Osamu

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AB - Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M rL which can be realized as the singular point set of a generic map M → R2 that has L as an oriented framed regular fiber. Then, we study the linking behavior between the singular point set and regular fibers for generic maps of M into R2.

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JO - Quaternary International

JF - Quaternary International

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