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J. Knot. Theor. Ramif., 2016, Volume 25, Issue 12, 1642016, 13 pp. (Mi jktr1)  

Linking numbers in non-orientable 3-manifolds

Viktor A. Vassilievab

a Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina str., Moscow 119991, Russia
b National Research University Higher School of Economics, Myasnitskaya str., 20, Moscow 101000, Russia

Abstract: The construction of integer linking numbers of closed curves in a three-dimensional manifold usually appeals to the orientation of this manifold. We discuss how to avoid it constructing similar homotopy invariants of links in non-orientable manifolds.

DOI: https://doi.org/10.1142/S0218216516420165


Bibliographic databases:

ArXiv: 1606.05876
Received: 08.08.2015
Accepted:02.12.2015
Language:

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