Right-veering diffeomorphisms of compact surfaces with boundary |
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| Authors: | Ko Honda William H. Kazez Gordana Matić |
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| Affiliation: | (1) Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA;(2) University of Georgia, Athens, GA 30602, USA |
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| 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. Mathematics Subject Classification (1991) Primary 57M50, secondary 53C15 |
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