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

Autor: Jérôme Dubois, Igor G. Korepanov, Evgeniy V. Martyushev
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 032 (2010)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2010.032
Popis: 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.
Databáze: Directory of Open Access Journals