TY - JOUR
T1 - Linking between singular locus and regular fibers
AU - Saeki, Osamu
N1 - Funding Information:
The author is most thankful to Professor David Chillingworth for posing the question as in Problem 5.1, which motivated the study developed in this paper, and for indicating the references [1, 2, 4, 8] in physics. He would also like to thank Kazuto Takao for helpful discussions and for the anonymous referee for various invaluable comments which improved the presentation of the paper. The author has been supported in part by JSPS KAKENHI Grant Numbers JP15K13438, JP16K13754, JP16H03936, JP17H06128.
Publisher Copyright:
© 2020, Worldwide Center of Mathematics. All rights reserved.
PY - 2020
Y1 - 2020
N2 - Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M \ L 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.
AB - Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M \ L 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.
UR - http://www.scopus.com/inward/record.url?scp=85081659295&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85081659295&partnerID=8YFLogxK
U2 - 10.5427/jsing.2020.21n
DO - 10.5427/jsing.2020.21n
M3 - Article
AN - SCOPUS:85081659295
SN - 1949-2006
VL - 21
SP - 234
EP - 248
JO - Journal of Singularities
JF - Journal of Singularities
ER -