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OPEN BOOKS FOR CLOSED NON-ORIENTABLE 3–MANIFOLDS

Published online by Cambridge University Press:  07 October 2019

ABHIJEET GHANWAT,
SUHAS PANDIT and
A SELVAKUMAR
ABHIJEET GHANWAT
Affiliation:
Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruseri, Kelambakkam, 603103, Tamilnadu, India e-mail: abhijeet@cmi.ac.in
SUHAS PANDIT
Affiliation:
Indian Institute of Technology Madras, IIT PO., Chennai, 600036, Tamilnadu, India e-mails: suhas@iitm.ac.in; ma15d010@smail.iitm.ac.in
A SELVAKUMAR
Affiliation:
Indian Institute of Technology Madras, IIT PO., Chennai, 600036, Tamilnadu, India e-mails: suhas@iitm.ac.in; ma15d010@smail.iitm.ac.in
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Abstract

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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.

Keywords

57M99

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 3 , September 2020, pp. 584 - 599
Copyright
© Glasgow Mathematical Journal Trust 2019

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