Reidemeister Torsion
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Grupos split metacíclicos e formas espaciais esféricas metacíclicas / Split metacyclic groups and split metacyclic spherical space forms
Neste trabalho, estudamos a ação dos grupos split metacíclicos \ D IND. (2h+1) POT. 2 nas esferas. Encontramos uma região fundamental dos espaços quocientes, chamados de Formas Espaciais Esféricas Metacíclicas, que foi utilizada para construirmos um conveniente complexo de cadeias destas formas com o qual calculamos o anel de cohomologia e a torção
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 02/12/2011
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2. Reidemeister torsion of spherical space forms / Torção de Reidemeister das formas espaciais esféricas
In this work, we study the action of the generalized quaternionic groups Q IND.4ton the spheres to compute the Reidemeister torsion of the quotient spaces, which are called Quaternionic Spherical Space Forms. Using the base of the homology defined by Ray and Singer in [27] we compute also the Ray-Singer torsion of the spheres, lens spaces and the cone over t
Publicado em: 2009
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3. Analytic torsion and Reidemeister torsion
We announce a proof of the conjecture of Ray and Singer that for a compact Riemannian manifold the analytic torsion and Reidemeister torsion are equal. The proof involves studying the heat equation for certain manifolds M, equipped with metrics gu, 0 < u < 1 which degenerate in a prescribed way at the boundary δM, as u → 0,1.