Title	Line arrangements in topological, smooth, and symplectic categories
Creator	Starkston, Laura
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-02-22T11:03
Description	A complex line arrangement is a collection of complex projective lines in \(CP^2\) which may intersect at points of multiplicity greater than two. The combinatorial arrangements which can be geometrically realized and their space of realizations have been studied classically. We define symplectic, smooth, and topological versions of complex line arrangements in \(CP^2\), and study their realizability. While one might hope that these more flexible categories allow us to realize any combinatorics, in fact we show that there are obstructions to topological realizations of many combinatorial arrangements. Many open questions remain about realizability in different categories.
Extent	62 minutes
Subject	Mathematics; Manifolds and cell complexes; Differential geometry; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-08-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0308719
URI	http://hdl.handle.net/2429/58933
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Line arrangements in topological, smooth, and symplectic categories Starkston, Laura

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