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A NOTE ON CHAINS AND BOUNDING PAIRS OF DEHN TWISTS

Part of: Topological manifolds Special aspects of infinite or finite groups

Published online by Cambridge University Press:  15 May 2020

FERIHE ATALAN
FERIHE ATALAN*
Affiliation:
Department of Mathematics, Atilim University, 06830Ankara, Turkey e-mail: ferihe.atalan@atilim.edu.tr
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Abstarct

Let $N_g^k$ be a nonorientable surface of genus g with k punctures. In the first part of this note, after introducing preliminary materials, we will give criteria for a chain of Dehn twists to bound a disc. Then, we will show that automorphisms of the mapping class groups map disc bounding chains of Dehn twists to such chains. In the second part of the note, we will introduce bounding pairs of Dehn twists and give an algebraic characterization for such pairs.

MSC classification

Primary: 20F38: Other groups related to topology or analysis
Secondary: 57N05: Topology of $E^2$, $2$-manifolds
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 63 , Issue 1 , January 2021 , pp. 133 - 138
Copyright
© The Author(s) 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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References

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