Abstract
We initiate the study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary. The monoid strictly contains the monoid of products of positive Dehn twists. We explain the relationship to tight contact structures and open book decompositions.
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Mathematics Subject Classification (1991)
Primary 57M50, secondary 53C15
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Honda, K., Kazez, W. & Matić, G. Right-veering diffeomorphisms of compact surfaces with boundary. Invent. math. 169, 427–449 (2007). https://doi.org/10.1007/s00222-007-0051-4
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DOI: https://doi.org/10.1007/s00222-007-0051-4