Mannigfaltigkeiten mit wenig Symmetrie

Iniotakis, Jan-Mark

Mannigfaltigkeiten mit wenig Symmetrie

Dateien

preprint_168.pdfGröße: 653.46 KBDownloads: 217

Datum

2002

Autor:innen

Iniotakis, Jan-Mark

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

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;

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

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

BibTex

@unpublished{Iniotakis2002Manni-6077,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

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