A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds

A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds

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...

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Bibliographic Details
Main Authors: Jérôme Dubois, Igor G. Korepanov, Evgeniy V. Martyushev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Pachner moves
Reidemeister torsion
framed knots
differential relations in Euclidean geometry
topological quantum field theory
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.032

Internet

http://dx.doi.org/10.3842/SIGMA.2010.032

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