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New Quantum Invariants of Planar Knotoids.
- Source :
-
Communications in Mathematical Physics . Aug2023, Vol. 401 Issue 3, p695-722. 28p. - Publication Year :
- 2023
-
Abstract
- In this paper we discuss the applications of knotoids to modelling knots in open curves and produce new knotoid invariants. We show how invariants of knotoids generally give rise to well-behaved measures of how much an open curve is knotted. We define biframed planar knotoids, and construct new invariants of these objects that can be computed in polynomial time. As an application of these invariants we improve the classification of planar knotoids with up to five crossings by distinguishing two pairs of prime knotoids that were conjectured to be distinct by Goundaroulis et al. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIAL time algorithms
*LOGICAL prediction
*KNOT theory
Subjects
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 401
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 164982425
- Full Text :
- https://doi.org/10.1007/s00220-023-04738-1