Title	Instantons on Asymptotically Conical $G_2$ Manifolds
Creator	Driscoll, Joe
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-08T09:00
Description	All known examples of instantons on (non-trivial) asymptotically conical $G_2$ manifolds asymptote to nearly K\"ahler instantons which live on the link of the cone. I will use this observation to develop a framework for studying the moduli space of such a $G_2$ instanton, showing that the expected dimension of this space is the index of a twisted Dirac operator on a weighted Sobolev space. I will focus on the example of $\mathbb R^7$ where the link is the homogeneous space $G_2/\mathrm{SU}(3)$ and show how one can use representation theoretic methods to calculate the expected dimension of the moduli space.
Extent	72.0 minutes
Subject	Mathematics; Differential geometry; Geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Leeds
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384930
URI	http://hdl.handle.net/2429/72196
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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