RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Publishing Ethics Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 CMFD: Year: Volume: Issue: Page: Find

 CMFD, 2013, Volume 51, Pages 21–32 (Mi cmfd252)

An invariant of knots in thickened surfaces

M. V. Zenkina

Faculty of Mathematics, Moscow State Pedagogical University, Moscow, Russia

Abstract: In the present paper, we construct an invariant of knots in the thickened sphere with $g$g handles dependent on $2g+3$ variables. In the construction of the invariant we use the Wirtinger presentation of the knot group and the concept of parity introduced by Manturov [9]. In the present paper, we also consider examples of knots in the thickened torus considered in [2] such that their nonequivalence is proved by using the constructed polynomial.

Full text: PDF file (565 kB)
References: PDF file   HTML file

English version:
Journal of Mathematical Sciences, 2016, 214:5, 728–740

UDC: 515.162.8

Citation: M. V. Zenkina, “An invariant of knots in thickened surfaces”, Topology, CMFD, 51, PFUR, M., 2013, 21–32; Journal of Mathematical Sciences, 214:5 (2016), 728–740

Citation in format AMSBIB
\Bibitem{Zen13} \by M.~V.~Zenkina \paper An invariant of knots in thickened surfaces \inbook Topology \serial CMFD \yr 2013 \vol 51 \pages 21--32 \publ PFUR \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd252} \transl \jour Journal of Mathematical Sciences \yr 2016 \vol 214 \issue 5 \pages 728--740 \crossref{https://doi.org/10.1007/s10958-016-2809-y}