"Non UBC"@en . "DSpace"@en . "Zupan, Alex"@en . "2016-08-27T05:02:32Z"@* . "2016-02-26T09:59"@en . "Waldhausen's Theorem implies that any handle decomposition of the 3\u00AD-sphere can be simplified without introducing additional handles. The analogue in dimension 4 is unknown, but it is widely believed that there are handle decompositions of the standard smooth 4-\u00ADsphere which require additional pairs of canceling handles before they admit simplification. For handle decompositions without 1\u00AD-handles, it suffices to understand links in the 3-\u00ADsphere with certain Dehn surgeries \u00AD\u00AD these are the links characterized by the Generalized Property R Conjecture and its variations.\n\nWe show that a given link has Stable Generalized Property R if and only if a certain infinite family of induced trisections is non\u00ADstandard; thus, we provide evidence that trisections may be used to verify that the potential counterexamples introduced by Gompf-Scharlemann\u00AD-Thompson do not have Stable Generalized Property R. Parts of this talk are joint with Jeffrey Meier and Trenton Schirmer."@en . "https://circle.library.ubc.ca/rest/handle/2429/58997?expand=metadata"@en . "56 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Nebraska-Lincoln"@en . "10.14288/1.0313303"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Manifolds and cell complexes"@en . "Differential geometry"@en . "Low dimensional topology"@en . "Handle decompositions of the 4-sphere, Generalized Property R, and trisections"@en . "Moving Image"@en . "http://hdl.handle.net/2429/58997"@en .