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- W2064117202 abstract "The paper is concerned with the realizability problem of branched coverings of S2, namely, given a collection of partitions of a positive integer d, whether there is a branched covering M→S2 with it as branch data. By reducing to the enumeration of a special type of fat graphs, we deduce a formula in terms of characters of symmetric groups to decide the problem. Computation further shows that the difficulty of the problem only lies in the case when the genus of the covering surface is 0 or 1." @default.
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- W2064117202 title "Realizability of branched coverings of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mi>S</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>" @default.
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- W2064117202 doi "https://doi.org/10.1016/j.topol.2005.08.007" @default.
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