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Right-veering diffeomorphisms of compact surfaces with boundary

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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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Authors and Affiliations

  1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089, USA

    Ko Honda

  2. University of Georgia, Athens, GA, 30602, USA

    William H. Kazez & Gordana Matić

Authors
  1. Ko Honda
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  2. William H. Kazez
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  3. Gordana Matić
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Correspondence to Ko Honda.

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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

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