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FOUR UTLES DE NAA IER NANNALESS LIN TITDELINSTITUT FOURIER Jrme DUBOIS Non abelian Reidemeister torsion and volume form on the SU(2)representation space of knot groups Tome 55, no 5 (2005), p. 16851734.
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Non abelian Reidemeister torsion is a mathematical invariant associated with a finitely presented group and a representation of that group into a non abelian group. It generalizes the concept of torsion in algebraic topology and is used in studying the topology of manifolds.
Non abelian Reidemeister torsion is typically relevant for mathematicians, particularly topologists and geometers, who are studying the properties of spaces and their associated algebraic structures.
Filling out non abelian Reidemeister torsion involves computing the torsion from various algebraic or topological data and applying specific formulas related to the representation of the fundamental group of a space.
The purpose of non abelian Reidemeister torsion is to provide a tool for distinguishing between different topological spaces by associating algebraic invariants with them, which can be used in various applications, including knot theory and characterizing fiber bundles.
Information reported on non abelian Reidemeister torsion typically includes the fundamental group representation, the space's homology or cohomology groups, and any other necessary algebraic data that defines the computation.
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