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Browsing by Author "Dirican Erdal, Esma"

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    Doctoral Thesis
    Reidemeister torsion of closed л-manifolds
    (Izmir Institute of Technology, 2021-07) Dirican Erdal, Esma; Sözen, Yaşar; Erman, Fatih; Izmir Institute of Technology
    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.