title: Conjugations on 6-Manifolds
creator: Olbermann, Martin
subject: ddc-510
subject: 510 Mathematics
description: Conjugation spaces are spaces with involution such that the fixed point set of the involution has Z/2-cohomology isomorphic to the Z/2-cohomology of the space itself, with the little difference that all degrees are divided by two (e.g. CP^n with the complex conjugation). One also requires that a certain conjugation equation is fulfilled. I give a new characterization of conjugation spaces and apply it to the following realization question: given M, a closed orientable 3-manifold, is there a 6-manifold X (with certain additional properties) containing M as submanifold such that M is the fixed point set of an orientation reversing involution on X? My main result is that for every such 3-manifold M there exists a simply connected conjugation 6-manifold X with fixed point set M.
date: 2007
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/7450/1/tmmain.pdf
identifier: DOI:10.11588/heidok.00007450
identifier: urn:nbn:de:bsz:16-opus-74507
identifier:   Olbermann, Martin  (2007) Conjugations on 6-Manifolds.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/7450/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng