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201401.6989v1 Torsion homology growth and cycle complexity of arithmetic manifolds.pdf
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that there is a basis for the second homology of M, where each basis element is represented by a surface of `low´ genus, and give evidence for this. We explain the relationship between this conjecture and the study of torsion homology growth.
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Refined Analytic Torsion as an Element of the Determinant Line.pdf
We construct a canonical element, called the refined analytic torsion, of the ndeterminant line of the cohomology of a closed oriented odd-dimensional nmanifold M with coefficients in a flat complex vector bundle E. We compute the nRay-Singer norm of the refined analytic torsion. In particular, if there exists na flat Hermitian metric on E, we show that this norm is equal to 1. We prove a n..
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A total whitehead torsion obstruction to fibering over the circle.pdf
A total whitehead torsion obstruction to fibering over the circle
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The Lang-Trotter Conjecture on average for elliptic curves with torsion..pdf
The Lang-Trotter Conjecture on average for elliptic curves with torsion.
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Torsion pairs in a triangulated category generated by a spherical object.pdf
Torsion pairs in a triangulated category generated by a spherical object
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Reidemeister Torsion in Floer-Novikov Theory and Counting Pseudo-holomorphic Tori, II.pdf
Reidemeister Torsion in Floer-Novikov Theory and Counting Pseudo-holomorphic Tori, II
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The Lefschetz fixed point formulas about Dirac operator with certain non-torsion free connections.pdf
The Lefschetz fixed point formulas about Dirac operator with certain non-torsion free connections
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Generation of the 2-Torsion Part of the Brauer Group of a Local Quintic by Quaternion Algeb.pdf
Generation of the 2-Torsion Part of the Brauer Group of a Local Quintic by Quaternion Algeb

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