Topological classification of circle-valued simple Morse-Bott functions
Journal of Singularities, Tome 17 (2018), pp. 388-402
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In this work, we investigate the classification of Morse-Bott functions from S^2 to S^1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f:S^2 \to S^1. The invariant is based on the generalized Reeb graph associated to f (called here MB-Reeb graph). Moreover, a realization theorem is obtained.
@article{10_5427_jsing_2018_17q,
author = {E.B. Batista and J.C.F. Costa, and I.S. Meza-Sarmiento},
title = {Topological classification of circle-valued simple {Morse-Bott} functions},
journal = {Journal of Singularities},
pages = {388--402},
publisher = {mathdoc},
volume = {17},
year = {2018},
doi = {10.5427/jsing.2018.17q},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17q/}
}
TY - JOUR AU - E.B. Batista AU - J.C.F. Costa, AU - I.S. Meza-Sarmiento TI - Topological classification of circle-valued simple Morse-Bott functions JO - Journal of Singularities PY - 2018 SP - 388 EP - 402 VL - 17 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17q/ DO - 10.5427/jsing.2018.17q ID - 10_5427_jsing_2018_17q ER -
%0 Journal Article %A E.B. Batista %A J.C.F. Costa, %A I.S. Meza-Sarmiento %T Topological classification of circle-valued simple Morse-Bott functions %J Journal of Singularities %D 2018 %P 388-402 %V 17 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17q/ %R 10.5427/jsing.2018.17q %F 10_5427_jsing_2018_17q
E.B. Batista; J.C.F. Costa,; I.S. Meza-Sarmiento. Topological classification of circle-valued simple Morse-Bott functions. Journal of Singularities, Tome 17 (2018), pp. 388-402. doi: 10.5427/jsing.2018.17q
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