INVARIANTS OF LINKS IN 3-MANIFOLDS AND SPLITTING PROBLEM OF TEXTILE STRUCTURES-Reference-Cited by-同舟云学术

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INVARIANTS OF LINKS IN 3-MANIFOLDS AND SPLITTING PROBLEM OF TEXTILE STRUCTURES

Published:2011-03 Issue:03 Volume:20 Page:345-370
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

GRISHANOV S. A.¹,VASSILIEV V. A.¹

Affiliation:

1. Steklov Mathematical Institute, and Higher School of Economics, Moscow, Russia

Abstract

An infinite family of invariants of multicomponent links in 3-manifolds is introduced and used to prove the non-splitting and non-equivalence of textile structures.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821651100884X

Reference25 articles.

1. Quantization of the algebra of chord diagrams

2. On the Vassiliev knot invariants

3. Knot polynomials and Vassiliev's invariants

4. A small state sum for knots

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Directional Invariants of Doubly Periodic Tangles;Symmetry;2024-07-30

2. Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices;Journal of Knot Theory and Its Ramifications;2023-04

3. Modelling Complex Non-Rectilinear Textile Structures;International Journal of Humanities and Arts Computing;2016-10

4. Linking numbers in non-orientable 3-manifolds;Journal of Knot Theory and Its Ramifications;2016-10

5. An Invariant of Knots in Thickened Surfaces;Journal of Mathematical Sciences;2016-03-19

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