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On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere

Part of: Symplectic geometry, contact geometry Differential topology

Published online by Cambridge University Press:  18 December 2019

Kuldeep Saha
Kuldeep Saha*
Affiliation:
Chennai Mathematical Institute, Chennai, India Email: kuldeep@cmi.ac.in
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Abstract

We prove some open book embedding results in the contact category with a constructive approach. As a consequence, we give an alternative proof of a theorem of Etnyre and Lekili that produces a large class of contact 3-manifolds admitting contact open book embeddings in the standard contact 5-sphere. We also show that all the Ustilovsky $(4m+1)$-spheres contact open book embed in the standard contact $(4m+3)$-sphere.

Keywords

contact open bookembedding

MSC classification

Primary: 53D10: Contact manifolds, general
Secondary: 53D15: Almost contact and almost symplectic manifolds 57R17: Symplectic and contact topology
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 4 , December 2020 , pp. 755 - 770
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Copyright
© Canadian Mathematical Society 2019

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Footnotes

During this work, the author was supported by the National Board of Higher Mathematics, DAE, Govt. of India (grant no. 2/39(18)/2013/R and D/15916).

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