Geodesic
OPEN BOOKS FOR CLOSED NON-ORIENTABLE 3–MANIFOLDS
Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 584-599

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DOI

In this note, we give a new proof of the existence of an open book decomposition for a closed non-orientable 3–manifold. This open book decomposition is analogous to a planar open book decomposition for a closed orientable 3–manifold. More precisely, in this note, we give an open book decomposition of a given closed non-orientable 3–manifold with the pages punctured Möbius bands. We also give an algorithm to determine the monodromy of this open book.
DOI : 10.1017/S0017089519000363
Mots-clés : 57M99 
GHANWAT, ABHIJEET; PANDIT, SUHAS; SELVAKUMAR, A. OPEN BOOKS FOR CLOSED NON-ORIENTABLE 3–MANIFOLDS. Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 584-599. doi: 10.1017/S0017089519000363
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     author = {GHANWAT, ABHIJEET and PANDIT, SUHAS and SELVAKUMAR, A},
     title = {OPEN {BOOKS} {FOR} {CLOSED} {NON-ORIENTABLE} {3{\textendash}MANIFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {584--599},
     year = {2020},
     volume = {62},
     number = {3},
     doi = {10.1017/S0017089519000363},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000363/}
}
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%A PANDIT, SUHAS
%A SELVAKUMAR, A
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%J Glasgow mathematical journal
%D 2020
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