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Splittings of free groups, normal forms and partitions of ends

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dc.contributor.author Gadgil, Siddhartha en_US
dc.contributor.author PANDIT, SUHAS en_US
dc.date.accessioned 2020-10-13T09:55:04Z
dc.date.available 2020-10-13T09:55:04Z
dc.date.issued 2010-08 en_US
dc.identifier.citation Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 120(2), 217-241. en_US
dc.identifier.issn 0253-4142 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5104
dc.identifier.uri https://doi.org/10.1007/s12044-010-0020-5 en_US
dc.description.abstract Splittings of a free group correspond to embedded spheres in the 3-manifold M = # k S 2 × S 1. These can be represented in a normal form due to Hatcher. In this paper, we determine the normal form in terms of crossings of partitions of ends corresponding to normal spheres, using a graph of trees representation for normal forms. In particular, we give a constructive proof of a criterion determining when a conjugacy class in π 2(M) can be represented by an embedded sphere. en_US
dc.language.iso en en_US
dc.publisher Indian Academy of Sciences en_US
dc.subject Free groups en_US
dc.subject Sphere complex en_US
dc.subject Algebraic intersection numbers en_US
dc.subject Graphs of trees en_US
dc.subject 2010 en_US
dc.title Splittings of free groups, normal forms and partitions of ends en_US
dc.type Article en_US
dc.contributor.department Dept. of Mathematics en_US
dc.identifier.sourcetitle Proceedings of the Indian Academy of Sciences-Mathematical Sciences en_US
dc.publication.originofpublisher Indian en_US


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