Title	Braided surfaces with caps and positive branch points
Creator	Hughes, Mark
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-05T11:15
Description	In this talk we will define braided surfaces with caps, which generalizes the notion of braided surfaces to nonribbon surfaces in $D^4$. We show that any surface in $D^4$ can be isotoped to a braided surface with caps with only positive branch points, and that this isotopy can be taken rel boundary if the boundary is already a classical closed braid in $S^3$. We will then discuss some applications of these surfaces to constructing Lefschetz fibrations with prescribed boundary open book decompositions and braiding closed surfaces in $\mathbb{CP}^2$.
Extent	46.0 minutes
Subject	Mathematics; Manifolds And Cell Complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Brigham Young University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390294
URI	http://hdl.handle.net/2429/74268
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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