Gadgil, Siddhartha and Kalelkar, Tejas (2013) chain complex and quadrilaterals for normal surfaces. In: Rocky Mountain Journal of Mathematics, 43 (2). pp. 479-487.
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Official URL: http://dx.doi.org/10.1216/RMJ-2013-43-2-479
Abstract
We interpret a normal surface in a (singular) three-manifold in terms of the homology of a chain complex. This allows us to study the relation between normal surfaces and their quadrilateral coordinates. Specifically, we give a proof of an (unpublished) observation independently given by Casson and Rubinstein saying that quadrilaterals determine a normal surface up to vertex linking spheres. We also characterize the quadrilateral coordinates that correspond to a normal surface in a (possibly ideal) triangulation.
| Item Type: | Journal Article |
|---|---|
| Publication: | Rocky Mountain Journal of Mathematics |
| Publisher: | Rocky Mountain Mathematics Consortium |
| Additional Information: | Copyright of this article belongs to Rocky Mountain Mathematics Consortium. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Sep 2013 12:14 |
| Last Modified: | 20 Sep 2013 12:14 |
| URI: | http://eprints.iisc.ac.in/id/eprint/47231 |
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