Homology cylinders and the acyclic closure of a free group.
Sakasai, Takuya (2006)
Algebraic & Geometric Topology
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Sakasai, Takuya (2006)
Algebraic & Geometric Topology
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Hutchings, Michael, Sullivan, Michael (2006)
Geometry & Topology
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Calegari, Frank, Dunfield, Nathan M. (2006)
Geometry & Topology
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Wortman, Kevin (2006)
Algebraic & Geometric Topology
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Dubois, Jérôme (2006)
Algebraic & Geometric Topology
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Lawson, Tyler (2006)
Algebraic & Geometric Topology
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Kenzi Satô (1998)
Acta Arithmetica
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For every positive rational number q, we find a free group of rotations of rank 2 acting on (√q𝕊²) ∩ ℚ³ whose all elements distinct from the identity have no fixed point.
Carvalho, Leonardo Navarro (2006)
Geometry & Topology
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Calegari, Danny, Freedman, Michael H. (2006)
Geometry & Topology
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Craig Guilbault (1994)
Fundamenta Mathematicae
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A homology lens space is a closed 3-manifold with ℤ-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer an alternative proof based on classical 3-manifold techniques.
P. D. T. A. Elliott (1999)
Acta Arithmetica
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Bjørn Jahren (1999)
Fundamenta Mathematicae
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Using Hausmann and Vogel's homology sphere bundle interpretation of algebraic K-theory, we construct K-theory invariants by a theory of characteristic classes for flat bundles. It is shown that the Borel classes are detected this way, as well as the rational K-theory of integer group rings of finite groups.