Title	From Exotic Surfaces to Exotic Homotopy Classes of Diffeomorphisms
Creator	Auckly, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-06T11:25
Description	This represents joint work with Danny Ruberman. We will start with critical level embeddings of a pair of surfaces that are topologically isotopic but not smoothly isotopic. We will see how these surfaces may be used to construct exotic homotopy classes in the diffeomorphism group of some 4-manifolds and in spaces of embeddings. Invariants to detect exotic diffeomorphisms based on parameterized gauge theory will be defined along with a method to evaluate the invariants in some interesting cases. Given time, the talk would speculate on how these invariants could provide information about intersection patterns of surfaces in 4-manifolds tools.
Extent	48.0 minutes
Subject	Mathematics; Manifolds And Cell Complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Kansas State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390353
URI	http://hdl.handle.net/2429/74330
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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