Right-veering diffeomorphisms of compact surfaces with boundary I
classification
🧮 math.GT
keywords
monoidboundarycompactdiffeomorphismsright-veeringbookcontactcontains
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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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