A chain complex and Quadrilaterals for normal surfaces

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dc.creatorGadgil, Siddhartha
dc.creatorKalelkar, Tejas
dc.date2008-10-02
dc.date.accessioned2026-07-07T10:07:01Z
dc.date.available2026-07-07T10:07:01Z
dc.descriptionWe 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 co-ordinates. Specifically, we give a proof of an (unpublished) observation independently given by Casson and Rubinstein saying that quadrilaterals determine a normal surface up to vertex linking spheres.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 characterise the quadrilateral coordinates that correspond to a normal surface in a (possibly ideal) triangulation.
dc.description7 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0810.0342
dc.identifierhttp://arxiv.org/abs/0810.0342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170493
dc.subjectGeometric Topology
dc.subject57Q35 (Primary)
dc.titleA chain complex and Quadrilaterals for normal surfaces
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