Published 2022 | Version v1
Journal article

Evolution properties of the knot's defect

  • 1. MIPT, ITEP, IITP, Moscow (Russian Federation)
  • 2. MIPT, ITEP, Moscow (Russian Federation)

Description

The defect of differential (cyclotomic) expansion for colored HOMFLY-PT polynomials is conjectured to be invariant under any antiparallel evolution and change linearly with the evolution in any parallel direction. In other words, each R-matrix can be substituted by an entire 2-strand braid in two different ways: the defect remains intact when the braid is antiparallel and changes by half of the added length when the braid is parallel.

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-022-10705-2

Additional details

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
82
Journal Issue
9
Journal Page Range
vp.
ISSN
1434-6052
CODEN
EPCFFB

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
53122811
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
COLOR; DEFECTS; EVOLUTION; EXPANSION; POLYNOMIALS
Descriptors DEC
FUNCTIONS; OPTICAL PROPERTIES; ORGANOLEPTIC PROPERTIES; PHYSICAL PROPERTIES

Optional Information

Notes
AID: 787