2 sonuçlar
Arama Sonuçları
Listeleniyor 1 - 2 / 2
Yayın On twisted torsion of compact 3-manifolds(Cornell Univ, 2024-08-20) Erdal, Esma DiricanLet M be a 3-manifold with connected non-vacuos boundary which is not spherical. Assume that N is another 3-manifold with vacuous boundary and N∗ is the 3-manifold obtained by removing from N the interior of a 3-cell. In the present paper, we find a relationship between the multiplicative property of the twisted Reidemeister torsion and the connected sum operation on these manifolds in order to understand their topology and geometry.Yayın A multiplicative gluing formula Reidemeister-Franz torsion of high dimensional closed manifolds(IKSAD Publications, 2024-03-23) Dirican Erdal, Esma; Şahin, HasanLet M be a 2n-dimensional (n≥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 ℝ-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 ℝ-coefficients in terms of the Reidemeister-Franz torsions of its building blocks in the decomposition.
