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

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dc.contributor.authorDubois, J.
dc.contributor.authorKorepanov, I.G.
dc.contributor.authorMartyushev, E.V.
dc.date.accessioned2019-02-09T09:15:25Z
dc.date.available2019-02-09T09:15:25Z
dc.date.issued2010
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThe authors J.D. and I.G.K. acknowledge support from the Swiss National Science Foundation. In particular, it made possible the visit of I.G.K. to Geneva, where the work on this paper began. The work of I.G.K. and E.V.M. was supported by Russian Foundation for Basic Research, Grants no. 07-01-96005 and 10-01-96010. The work of J.D. was partially supported by the European Community with Marie Curie Intra–European Fellowship (MEIF–CT–2006–025316). While writing the paper, J.D. visited the CRM. He thanks the CRM for hospitality. Finally, we would like to thank the referee for the very attentive reading of the manuscript and constructive criticism. We hope that, following the referee’s comments, we have substantially improved our paper.uk_UA
dc.identifier.citationA Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds / J. Dubois , Korepanov I.G., Martyushev E.V.// Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 57M27; 57Q10; 57R56
dc.identifier.otherDOI:10.3842/SIGMA.2010.032
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146349
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Euclidean Geometric Invariant of Framed (Un)Knots in Manifoldsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік