Decomposability problem on branched coverings - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: Given a branched covering of degree d between closed surfaces, it determinesa collection of partitions of d, the branch data. In this work we show that anybranch data are realized by an indecomposable primitive branched covering on aconnected close surface N with Euler-s characteristic less than or equal to 0.This shows that decomposable and indecomposable realizations may coexist.Moreover, we characterize the branch data of a decomposable primitive branchedcovering.



Author: Natalia A. Viana Bedoya, Daciberg Lima Goncalves

Source: https://arxiv.org/







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