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Your search keyword '"Korepanov, Igor G."' showing total 2 results
Start Over Author "Korepanov, Igor G." Publisher centre de recerca matematica
2 results on '"Korepanov, Igor G."'

1. Euclidean geometric invariant of framed knots in manifolds

Author

Dubois, Jérôme, Korepanov, Igor G., Martyushev, Evgeniy V., and Centre de Recerca Matemàtica

Subjects
Topologia hipo-dimensional, Varietats topològiques, Invariants, Mathematics::Geometric Topology
Abstract

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. An important feature of our work is that we are not using any nontrivial representation of the manifold fundamental group or knot group.

Published
2021

2. Euclidean geometric invariant of framed knots in manifolds

Author

Dubois, Jérôme, Korepanov, Igor G., Martyushev, Evgeniy V., and Centre de Recerca Matemàtica

Subjects
Topologia hipo-dimensional, Varietats topològiques, Invariants, 515.1 - Topologia, Mathematics::Geometric Topology
Abstract

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. An important feature of our work is that we are not using any nontrivial representation of the manifold fundamental group or knot group.

Published
2007

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