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A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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We present an invariant of a three-dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant for some framed (un)knots in lens spaces. Our invariant is related to a finite-dimensional fermionic topological quantum field theory.
Keywords: Pachner moves; Reidemeister torsion; framed knots; differential relations in Euclidean geometry; topological quantum field theory. 
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     author = {J\'er\^ome Dubois and Igor G. Korepanov and Evgeniy V. Martyushev},
     title = {A~Euclidean {Geometric} {Invariant} of {Framed} {(Un)Knots} in {Manifolds}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a31/}
}
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Jérôme Dubois; Igor G. Korepanov; Evgeniy V. Martyushev. A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a31/

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