Matches in SemOpenAlex for { <https://semopenalex.org/work/W3206814914> ?p ?o ?g. }
- W3206814914 abstract "In this article, we define Vassiliev measures of complexity for open curves in 3-space. These are related to the coefficients of the enhanced Jones polynomial of open curves in 3-space. These Vassiliev measures are continuous functions of the curve coordinates; as the ends of the curve tend to coincide, they converge to the corresponding Vassiliev invariants of the resulting knot. We focus on the second Vassiliev measure from the enhanced Jones polynomial for closed and open curves in 3-space. For closed curves, this second Vassiliev measure can be computed by a Gauss code diagram and it has an integral formulation, the double alternating self-linking integral. The double alternating self-linking integral is a topological invariant of closed curves and a continuous function of the curve coordinates for open curves in 3-space. For polygonal curves, the double alternating self-linking integral obtains a simpler expression in terms of geometric probabilities." @default.
- W3206814914 created "2021-10-25" @default.
- W3206814914 creator A5050443074 @default.
- W3206814914 creator A5057018104 @default.
- W3206814914 date "2021-10-01" @default.
- W3206814914 modified "2023-10-06" @default.
- W3206814914 title "Vassiliev measures of complexity of open and closed curves in 3-space" @default.
- W3206814914 cites W1204278387 @default.
- W3206814914 cites W1729698380 @default.
- W3206814914 cites W1799536390 @default.
- W3206814914 cites W1965458078 @default.
- W3206814914 cites W1966853719 @default.
- W3206814914 cites W1969261142 @default.
- W3206814914 cites W1973224982 @default.
- W3206814914 cites W1973654613 @default.
- W3206814914 cites W1983917808 @default.
- W3206814914 cites W1999931372 @default.
- W3206814914 cites W2000496048 @default.
- W3206814914 cites W2003314259 @default.
- W3206814914 cites W2007185418 @default.
- W3206814914 cites W2012393256 @default.
- W3206814914 cites W2015031142 @default.
- W3206814914 cites W2018309643 @default.
- W3206814914 cites W2019218232 @default.
- W3206814914 cites W2030537075 @default.
- W3206814914 cites W2031814977 @default.
- W3206814914 cites W2040860477 @default.
- W3206814914 cites W2050501625 @default.
- W3206814914 cites W2056954154 @default.
- W3206814914 cites W2071801368 @default.
- W3206814914 cites W2081480012 @default.
- W3206814914 cites W2086114750 @default.
- W3206814914 cites W2087503892 @default.
- W3206814914 cites W2091919572 @default.
- W3206814914 cites W2099902245 @default.
- W3206814914 cites W2103717137 @default.
- W3206814914 cites W2120207347 @default.
- W3206814914 cites W2129538584 @default.
- W3206814914 cites W2135190106 @default.
- W3206814914 cites W2137459590 @default.
- W3206814914 cites W2139793212 @default.
- W3206814914 cites W2147816199 @default.
- W3206814914 cites W2318931120 @default.
- W3206814914 cites W2323245005 @default.
- W3206814914 cites W2492290683 @default.
- W3206814914 cites W2754103563 @default.
- W3206814914 cites W2774806921 @default.
- W3206814914 cites W2937193597 @default.
- W3206814914 cites W2942827744 @default.
- W3206814914 cites W2949477360 @default.
- W3206814914 cites W2950067174 @default.
- W3206814914 cites W2963904459 @default.
- W3206814914 cites W2964122149 @default.
- W3206814914 cites W2990390001 @default.
- W3206814914 cites W3010005574 @default.
- W3206814914 cites W3047236100 @default.
- W3206814914 cites W3104470556 @default.
- W3206814914 cites W3105054908 @default.
- W3206814914 cites W3105607542 @default.
- W3206814914 cites W3105701304 @default.
- W3206814914 cites W3106049385 @default.
- W3206814914 cites W3176361845 @default.
- W3206814914 cites W3195613854 @default.
- W3206814914 cites W4239537079 @default.
- W3206814914 cites W4255075412 @default.
- W3206814914 cites W4256439663 @default.
- W3206814914 cites W98023151 @default.
- W3206814914 doi "https://doi.org/10.1098/rspa.2021.0440" @default.
- W3206814914 hasPublicationYear "2021" @default.
- W3206814914 type Work @default.
- W3206814914 sameAs 3206814914 @default.
- W3206814914 citedByCount "6" @default.
- W3206814914 countsByYear W32068149142021 @default.
- W3206814914 countsByYear W32068149142022 @default.
- W3206814914 countsByYear W32068149142023 @default.
- W3206814914 crossrefType "journal-article" @default.
- W3206814914 hasAuthorship W3206814914A5050443074 @default.
- W3206814914 hasAuthorship W3206814914A5057018104 @default.
- W3206814914 hasBestOaLocation W32068149142 @default.
- W3206814914 hasConcept C111919701 @default.
- W3206814914 hasConcept C127413603 @default.
- W3206814914 hasConcept C134306372 @default.
- W3206814914 hasConcept C2778572836 @default.
- W3206814914 hasConcept C2779863119 @default.
- W3206814914 hasConcept C2780009758 @default.
- W3206814914 hasConcept C33923547 @default.
- W3206814914 hasConcept C41008148 @default.
- W3206814914 hasConcept C42360764 @default.
- W3206814914 hasConcept C77088390 @default.
- W3206814914 hasConceptScore W3206814914C111919701 @default.
- W3206814914 hasConceptScore W3206814914C127413603 @default.
- W3206814914 hasConceptScore W3206814914C134306372 @default.
- W3206814914 hasConceptScore W3206814914C2778572836 @default.
- W3206814914 hasConceptScore W3206814914C2779863119 @default.
- W3206814914 hasConceptScore W3206814914C2780009758 @default.
- W3206814914 hasConceptScore W3206814914C33923547 @default.
- W3206814914 hasConceptScore W3206814914C41008148 @default.
- W3206814914 hasConceptScore W3206814914C42360764 @default.
- W3206814914 hasConceptScore W3206814914C77088390 @default.
- W3206814914 hasFunder F4320321912 @default.