Matches in SemOpenAlex for { <https://semopenalex.org/work/W1657443033> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W1657443033 abstract "The state sum regular isotopy invariant of links which I introduce in this work is a generalization of the Jones Polynomial. So it distinguishes any pair of links which are distinguishable by Jones'. This new invariant, denoted {em VSE-invariant} is strictly stronger than Jones': I detected a pair of links which are not distinguished by Jones' but are distinguished by the new invariant. The full VSE-invariant has $3^n$ states. However, there are useful specializations of it parametrized by an integer k, having $O(n^k)=sum_{ell=0}^k {n choose ell} 2^ell $ states. The link with more crossings of the pair which was distinguished by the VSE-invariant has 20 crossings. The specialization which is enough to distinguish corresponds to k=2 and has only 801 states, as opposed to the $2^{20} = 1,048,576$ states of the Jones polynomial of the same link. The full VSE-invariant of it has $3^{20} = 3,486,784,401$ states. The VSE-invariant is a good alternative for the Jones polynomial when the number of crossings makes the computation of this polynomial impossible. For instance, for $k=2$ the specialization of the VSE-invariant of a link with $n=500$ crossings can be computed in a few minutes, since it has only $2 n^2+1 = 500,001$ states." @default.
- W1657443033 created "2016-06-24" @default.
- W1657443033 creator A5065879386 @default.
- W1657443033 date "2008-04-26" @default.
- W1657443033 modified "2023-09-27" @default.
- W1657443033 title "A state sum invariant for regular isotopy of links having a polynomial number of states" @default.
- W1657443033 cites W1987349472 @default.
- W1657443033 cites W2056532595 @default.
- W1657443033 cites W2067262386 @default.
- W1657443033 cites W2137459590 @default.
- W1657443033 cites W2156613167 @default.
- W1657443033 hasPublicationYear "2008" @default.
- W1657443033 type Work @default.
- W1657443033 sameAs 1657443033 @default.
- W1657443033 citedByCount "0" @default.
- W1657443033 crossrefType "posted-content" @default.
- W1657443033 hasAuthorship W1657443033A5065879386 @default.
- W1657443033 hasConcept C101044782 @default.
- W1657443033 hasConcept C11413529 @default.
- W1657443033 hasConcept C114614502 @default.
- W1657443033 hasConcept C118615104 @default.
- W1657443033 hasConcept C121332964 @default.
- W1657443033 hasConcept C132770796 @default.
- W1657443033 hasConcept C134306372 @default.
- W1657443033 hasConcept C134530390 @default.
- W1657443033 hasConcept C143330242 @default.
- W1657443033 hasConcept C190470478 @default.
- W1657443033 hasConcept C2778876713 @default.
- W1657443033 hasConcept C33923547 @default.
- W1657443033 hasConcept C37914503 @default.
- W1657443033 hasConcept C45374587 @default.
- W1657443033 hasConcept C84655787 @default.
- W1657443033 hasConcept C90119067 @default.
- W1657443033 hasConcept C97355855 @default.
- W1657443033 hasConceptScore W1657443033C101044782 @default.
- W1657443033 hasConceptScore W1657443033C11413529 @default.
- W1657443033 hasConceptScore W1657443033C114614502 @default.
- W1657443033 hasConceptScore W1657443033C118615104 @default.
- W1657443033 hasConceptScore W1657443033C121332964 @default.
- W1657443033 hasConceptScore W1657443033C132770796 @default.
- W1657443033 hasConceptScore W1657443033C134306372 @default.
- W1657443033 hasConceptScore W1657443033C134530390 @default.
- W1657443033 hasConceptScore W1657443033C143330242 @default.
- W1657443033 hasConceptScore W1657443033C190470478 @default.
- W1657443033 hasConceptScore W1657443033C2778876713 @default.
- W1657443033 hasConceptScore W1657443033C33923547 @default.
- W1657443033 hasConceptScore W1657443033C37914503 @default.
- W1657443033 hasConceptScore W1657443033C45374587 @default.
- W1657443033 hasConceptScore W1657443033C84655787 @default.
- W1657443033 hasConceptScore W1657443033C90119067 @default.
- W1657443033 hasConceptScore W1657443033C97355855 @default.
- W1657443033 hasLocation W16574430331 @default.
- W1657443033 hasOpenAccess W1657443033 @default.
- W1657443033 hasPrimaryLocation W16574430331 @default.
- W1657443033 hasRelatedWork W1871929648 @default.
- W1657443033 hasRelatedWork W1990280545 @default.
- W1657443033 hasRelatedWork W1997164612 @default.
- W1657443033 hasRelatedWork W2005198113 @default.
- W1657443033 hasRelatedWork W2023409861 @default.
- W1657443033 hasRelatedWork W2087473174 @default.
- W1657443033 hasRelatedWork W2128459235 @default.
- W1657443033 hasRelatedWork W2147470085 @default.
- W1657443033 hasRelatedWork W2172097653 @default.
- W1657443033 hasRelatedWork W2501432546 @default.
- W1657443033 hasRelatedWork W2895322321 @default.
- W1657443033 hasRelatedWork W2949940366 @default.
- W1657443033 hasRelatedWork W2951400579 @default.
- W1657443033 hasRelatedWork W2951482723 @default.
- W1657443033 hasRelatedWork W2987623565 @default.
- W1657443033 hasRelatedWork W3037851241 @default.
- W1657443033 hasRelatedWork W3046275920 @default.
- W1657443033 hasRelatedWork W3111364632 @default.
- W1657443033 hasRelatedWork W3130450913 @default.
- W1657443033 hasRelatedWork W2177795981 @default.
- W1657443033 isParatext "false" @default.
- W1657443033 isRetracted "false" @default.
- W1657443033 magId "1657443033" @default.
- W1657443033 workType "article" @default.