Title	A cohomological Seiberg-Witten invariant emerging from the adjunction inequality
Creator	Konno, Hokuto
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-10T09:02
Description	We construct an invariant of closed spin^c 4-manifolds. This invariant is defined using families of Seiberg-Witten equations and formulated as a cohomology class on a certain abstract simplicial complex. We also give examples of 4-manifolds which admit positive scalar curvature metrics and for which this invariant does not vanish. This non-vanishing result of our invariant provides a new class of adjunction-type genus constraints on configurations of embedded surfaces in a 4-manifold whose Seiberg-Witten invariant vanishes.
Extent	65 minutes
Subject	Mathematics; Manifolds and cell complexes; Global analysis, analysis on manifolds; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Tokyo
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-02-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363440
URI	http://hdl.handle.net/2429/64578
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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