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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5104| Title: | Splittings of free groups, normal forms and partitions of ends |
| Authors: | Gadgil, Siddhartha PANDIT, SUHAS Dept. of Mathematics |
| Keywords: | Free groups Sphere complex Algebraic intersection numbers Graphs of trees 2010 |
| Issue Date: | Aug-2010 |
| Publisher: | Indian Academy of Sciences |
| Citation: | Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 120(2), 217-241. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5104 https://doi.org/10.1007/s12044-010-0020-5 |
| ISSN: | 0253-4142 |
| Appears in Collections: | JOURNAL ARTICLES |
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