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

التفاصيل البيبلوغرافية
العنوان:	A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
المؤلفون:	Jérôme Dubois, Igor G. Korepanov, Evgeniy V. Martyushev
المصدر:	Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 032 (2010)
بيانات النشر:	National Academy of Science of Ukraine, 2010.
سنة النشر:	2010
المجموعة:	LCC:Mathematics
مصطلحات موضوعية:	Pachner moves, Reidemeister torsion, framed knots, differential relations in Euclidean geometry, topological quantum field theory, Mathematics, QA1-939
الوصف:	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.
نوع الوثيقة:	article
وصف الملف:	electronic resource
اللغة:	English
تدمد:	1815-0659
Relation:	https://doaj.org/toc/1815-0659
DOI:	10.3842/SIGMA.2010.032
URL الوصول:	https://doaj.org/article/4786b6acfe3848518f9183a2c3b8452d
رقم الأكسشن:	edsdoj.4786b6acfe3848518f9183a2c3b8452d
قاعدة البيانات:	Directory of Open Access Journals

الوصف
تدمد:	18150659
DOI:	10.3842/SIGMA.2010.032