Splittings of free groups, normal forms and partitions of ends

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