A multiplicative gluing formula Reidemeister-Franz torsion of high dimensional closed manifolds

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dc.authorid0000-0003-1223-3007
dc.contributor.authorDirican Erdal, Esmaen_US
dc.contributor.editorŞahin, Hasanen_US
dc.date.accessioned2026-03-16T06:56:35Z
dc.date.available2026-03-16T06:56:35Z
dc.date.issued2024-03-23
dc.departmentIşık Ɯniversitesi, MĆ¼hendislik ve Doğa Bilimleri FakĆ¼ltesi, Matematik BƶlĆ¼mĆ¼en_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractLet M be a 2n-dimensional (nā‰„2), closed, oriented, smooth manifold which is obtained by a connected sum of two closed, oriented, smooth manifolds and . Milnor shows that Reidemeister-Franz torsion acts multiplicatively with respect to such gluings. Namely, the torsion of M is the product of the torsions of , and the torsion of (2n-1)-sphere times a corrective term T(H*) coming from homologies. In this work, by using homological algebra techniques, we obtain a multiplicative gluing formula for the Reidemeister-Franz torsion of M with untwisted ā„-coefficients so that the corrective term T(H*) becomes 1. Moreover, considering a connected sum decomposition for any 2ndimensional, closed, oriented, smooth manifold W, we develop a useful formula, without a corrective term, to compute the Reidemeister-Franz torsion of W with untwisted ā„-coefficients in terms of the Reidemeister-Franz torsions of its building blocks in the decomposition.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDirican Erdal, E. (2024). A multiplicative gluing formula Reidemeister-Franz torsion of high dimensional closed manifolds. Paper presented at the 7. Uluslararası Ankara Multidisipliner Bilimsel Ƈalışmalar Kongresi, 292-292.en_US
dc.identifier.endpage292
dc.identifier.isbn9786258254402
dc.identifier.startpage292
dc.identifier.urihttps://hdl.handle.net/11729/7133
dc.identifier.urihttps://www.izdas.org/books
dc.institutionauthorDirican Erdal, Esmaen_US
dc.institutionauthorid0000-0003-1223-3007
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublished
dc.publisherIKSAD Publicationsen_US
dc.relation.ispartof7. Uluslararası Ankara Multidisipliner Bilimsel Ƈalışmalar Kongresien_US
dc.relation.publicationcategoryKonferans Ɩğesi - Uluslararası - Kurum Ɩğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectReidemeister-Franz torsionen_US
dc.subjectConnected sumen_US
dc.subjectOrientable closed manifoldsen_US
dc.titleA multiplicative gluing formula Reidemeister-Franz torsion of high dimensional closed manifoldsen_US
dc.typeConference Objecten_US
dspace.entity.typePublicationen_US

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