Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11676
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dc.contributor.advisorSözen, Yaşar-
dc.contributor.advisorErman, Fatih-
dc.contributor.authorDirican Erdal, Esma-
dc.date.accessioned2021-11-15T11:12:00Z-
dc.date.available2021-11-15T11:12:00Z-
dc.date.issued2021-07-
dc.identifier.citationDirican Erdal, E. (2017). Reidemeister torsion of closed л-manifolds. Unpublished doctoral dissertation, Izmir Institute of Technology, Izmir, Turkeyen_US
dc.identifier.urihttps://hdl.handle.net/11147/11676-
dc.descriptionThesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2021en_US
dc.descriptionIncludes bibliographical references (leaves: 108-113)en_US
dc.description.abstractLet M be a closed orientable 2n-dimensional л-manifold such that n , 2 and M is either (n-2)-connected or (n-1)-connected. Such a manifold M can be decomposed as a connected sum of certain simpler manifolds. In this thesis, by using such connected sum decompositions, we develop multiplicative gluing formulas that express the Reidemeister torsion of M with untwisted R-coefficients in terms of Reidemeister torsions of its building blocks in the decomposition. Then we apply these results to handlebodies, compact orientable smooth (2n+1)-dimensional manifolds whose boundary is a (n-2)-connected 2n-dimensional closed л-manifold, and product manifolds.en_US
dc.description.abstractKabul edelim ki M yönlendirilebilir kapalı 2n-boyutlu bir л-manifold olsun öyle ki n , 2 ve M ya (n-2)-bağlantılıdır yada (n-1)-bağlantılıdır. Böyle manifoldlar, daha basit manifoldların bağlantılı toplamı olarak ifade edilebilir. Bu tezde, bağlantılı toplamlar parçalanışı kullanılarak M manifoldunun R-değerli Reidemeister torsiyonunu bağlantılı toplamı oluşturan manifoldların Reidemeister torsiyonları cinsinden ifade eden çarpımsal yapıştırma formülleri geliştirilmiştir. Daha sonra bu sonuçlar tutamaçlara, sınırı (n-2)-bağlantılı 2n-boyutlu kapalı л-manifold olan kompakt yönlendirilebilir (2n + 1)-boyutlu manifoldlara ve son olarak çarpım manifoldlarına uygulanmıştır.en_US
dc.format.extentix, 113 leaves-
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCompact manifolden_US
dc.subjectReidemeister torsionen_US
dc.subjectManifolds (Mathematics)en_US
dc.subjectConnected sum decompositionen_US
dc.titleReidemeister torsion of closed л-manifoldsen_US
dc.title.alternativeKapalı л-manifoldların Reidemeister torsiyonuen_US
dc.typeDoctoral Thesisen_US
dc.departmentThesis (Doctoral)--İzmir Institute of Technology, Mathematicsen_US
dc.relation.publicationcategoryTezen_US
dc.contributor.affiliationIzmir Institute of Technologyen_US
dc.identifier.wosqualityN/A-
dc.identifier.scopusqualityN/A-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairetypeDoctoral Thesis-
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