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https://hdl.handle.net/11147/11676
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DC Field | Value | Language |
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dc.contributor.advisor | Sözen, Yaşar | - |
dc.contributor.advisor | Erman, Fatih | - |
dc.contributor.author | Dirican Erdal, Esma | - |
dc.date.accessioned | 2021-11-15T11:12:00Z | - |
dc.date.available | 2021-11-15T11:12:00Z | - |
dc.date.issued | 2021-07 | - |
dc.identifier.citation | Dirican Erdal, E. (2017). Reidemeister torsion of closed л-manifolds. Unpublished doctoral dissertation, Izmir Institute of Technology, Izmir, Turkey | en_US |
dc.identifier.uri | https://hdl.handle.net/11147/11676 | - |
dc.description | Thesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2021 | en_US |
dc.description | Includes bibliographical references (leaves: 108-113) | en_US |
dc.description.abstract | Let 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.abstract | Kabul 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.extent | ix, 113 leaves | - |
dc.language.iso | en | en_US |
dc.publisher | Izmir Institute of Technology | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Compact manifold | en_US |
dc.subject | Reidemeister torsion | en_US |
dc.subject | Manifolds (Mathematics) | en_US |
dc.subject | Connected sum decomposition | en_US |
dc.title | Reidemeister torsion of closed л-manifolds | en_US |
dc.title.alternative | Kapalı л-manifoldların Reidemeister torsiyonu | en_US |
dc.type | Doctoral Thesis | en_US |
dc.department | Thesis (Doctoral)--İzmir Institute of Technology, Mathematics | en_US |
dc.relation.publicationcategory | Tez | en_US |
dc.contributor.affiliation | Izmir Institute of Technology | en_US |
dc.identifier.wosquality | N/A | - |
dc.identifier.scopusquality | N/A | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.openairetype | Doctoral Thesis | - |
Appears in Collections: | Phd Degree / Doktora |
Files in This Item:
File | Description | Size | Format | |
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10408635.pdf | Doctoral Thesis | 389.96 kB | Adobe PDF | View/Open |
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