https://doi.org/10.1140/epjc/s10052-022-10705-2
Regular Article - Theoretical Physics
Evolution properties of the knot’s defect
1
MIPT, 141701, Dolgoprudny, Russian Federation
2
ITEP, Moscow, Russia
3
IITP, 127051, Moscow, Russian Federation
Received:
14
April
2022
Accepted:
14
August
2022
Published online:
5
September
2022
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 -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.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-022-11079-1.
Copyright comment corrected publication 2022
© The Author(s) 2022. corrected publication 2022
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