Open books decompositions of links of minimally elliptic singularities

Date

2021-02-01

Author

Bhupal, Mohan Lal

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We present an explicit Milnor open book decomposition supporting the canonical contact structure on the link of each minimally elliptic singularity whose fundamental cycle Z satisfies -3 <= Z center dot Z <=-1. For the Milnor open books whose pages have genus less than three, we give a factorization of the monodromy which does not involve any left-handed Dehn twists around interior curves. Necessary results regarding the roots of reducible, and irreducible elements in mapping class groups are proved, and some new relations in the mapping class groups are presented.

URI

https://hdl.handle.net/11511/89074

Journal

MATHEMATISCHE NACHRICHTEN

DOI

https://doi.org/10.1002/mana.201900154

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Department of Mathematics, Article

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Citation Formats

M. L. Bhupal, “Open books decompositions of links of minimally elliptic singularities,” MATHEMATISCHE NACHRICHTEN, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/89074.