Overtwisted discs in planar open books
classification
🧮 math.GT
math.SG
keywords
openbookplanarovertwistedbooksboundarycoefficientscomponents
read the original abstract
Using open book foliations we show that an overtwisted disc in a planar open book can be put in a topologically nice position. As a corollary, we prove that a planar open book whose fractional Dehn twist coefficients grater than one for all the boundary components supports a tight contact structure.
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