Mannigfaltigkeiten mit wenig Symmetrie


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INIOTAKIS, Jan-Mark, 2002. Mannigfaltigkeiten mit wenig Symmetrie

@unpublished{Iniotakis2002Manni-6077, title={Mannigfaltigkeiten mit wenig Symmetrie}, year={2002}, author={Iniotakis, Jan-Mark} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:abstract xml:lang="eng">In this Diplomarbeit we show that, when parametrized by their rational cohomology type, "most" compact, simply-connected 8-dimensional manifolds (with possibly one singular point) have only trivial S1-symmetry. To obtain restrictions on the rational cohomology type in the case of a non-trivial S1-action, we study the minimal Hirsch-Brown model of the S1-equivariant cohomology, and derive relations between the cohomology type and the rational cohomology of the fixed point set. Some of the results obtained are interesting in their own right: We show that for a "generic" compact, simply-connected, even-dimensional Q-Poincaré duality space X with S1-action the fixed point set has at most one component of high formal dimension;</dcterms:abstract> <dc:language>deu</dc:language> <dc:date rdf:datatype="">2011-03-24T16:09:24Z</dc:date> <dc:contributor>Iniotakis, Jan-Mark</dc:contributor> <dcterms:issued>2002</dcterms:issued> <bibo:uri rdf:resource=""/> <dc:rights>deposit-license</dc:rights> <dc:creator>Iniotakis, Jan-Mark</dc:creator> <dcterms:rights rdf:resource=""/> <dcterms:title>Mannigfaltigkeiten mit wenig Symmetrie</dcterms:title> <dcterms:available rdf:datatype="">2011-03-24T16:09:24Z</dcterms:available> <dc:format>application/pdf</dc:format> </rdf:Description> </rdf:RDF>

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