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- W2030568882 abstract "The crosscap number of a knot in the 3-sphere is defined as the minimal first Betti number of non-orientable surfaces bounded by the knot. In this paper, we determine the crosscap numbers of a large class of pretzel knots. The key ingredient to obtain the result is the algorithm of enumerating all essential surfaces for Montesinos knots developed by Hatcher and Oertel." @default.
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- W2030568882 date "2010-01-01" @default.
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- W2030568882 title "Crosscap numbers of pretzel knots" @default.
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- W2030568882 doi "https://doi.org/10.1016/j.topol.2009.04.031" @default.
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