Published October 7, 2014
| Version v1
Journal article
On possible existence of HOMFLY polynomials for virtual knots
- 1. National Research Nuclear University MEPhI (Russian Federation)
- 2. ITEP, Moscow (Russian Federation)
- 3. Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk (Russian Federation)
- 4. Moscow State University, Moscow (Russian Federation)
Description
Virtual knots are associated with knot diagrams, which are not obligatory planar. The recently suggested generalization from N=2 to arbitrary N of the Kauffman–Khovanov calculus of cycles in resolved diagrams can be straightforwardly applied to non-planar case. In simple examples we demonstrate that this construction preserves topological invariance – thus implying the existence of HOMFLY extension of cabled Jones polynomials for virtual knots and links
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2014.08.014Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2014.08.014;
- arXiv
- arXiv:1407.6319v3;
- PII
- S0370-2693(14)00581-4;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 737
- Journal Page Range
- p. 48-56
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47003873
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- COMPUTERIZED SIMULATION; INVARIANCE PRINCIPLES; POLYNOMIALS; TOPOLOGY
- Descriptors DEC
- FUNCTIONS; MATHEMATICS; SIMULATION
Optional Information
- Copyright
- Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.