Vassiliev invariants for pretzel knots-Reference-Cited by-同舟云学术

Vassiliev invariants for pretzel knots

Published:2016-09-30 Issue:27 Volume:31 Page:1650156
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Sleptsov A.¹²³⁴

Affiliation:

1. ITEP, Moscow 117218, Russia

2. Institute for Information Transmission Problems, Moscow 127994, Russia

3. National Research Nuclear University MEPhI, Moscow 115409, Russia

4. Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk 454001, Russia

Abstract

We compute Vassiliev invariants up to order six for arbitrary pretzel knots, which depend on [Formula: see text] parameters [Formula: see text]. These invariants are symmetric polynomials in [Formula: see text] whose degree coincide with their order. We also discuss their topological and integer-valued properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X16501566

Reference28 articles.

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2. Cohomology of knot spaces

3. Complements of Discriminants of Smooth Maps: Topology and Applications

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5. A polynomial invariant for knots via von Neumann algebras

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