Matches in SemOpenAlex for { <https://semopenalex.org/work/W3183172602> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W3183172602 endingPage "22" @default.
- W3183172602 startingPage "1" @default.
- W3183172602 abstract "Abstract We use the cobordism distance on the smooth knot concordance group $mathcal {C}$ to measure how close two knots are to being linearly dependent. Our measure, $Delta (mathcal {K}, mathcal {J})$ , is built by minimizing the cobordism distance between all pairs of knots, $mathcal {K}'$ and $mathcal {J}'$ , in cyclic subgroups containing $mathcal {K}$ and $mathcal {J}$ . When made precise, this leads to the definition of the projective space of the concordance group, ${mathbb P}(mathcal {C})$ , upon which $Delta $ defines an integer-valued metric. We explore basic properties of ${mathbb P}(mathcal {C})$ by using torus knots $T_{2,2k+1}$ . Twist knots are used to demonstrate that the natural simplicial complex $overline {({mathbb P}(mathcal {C}), Delta )}$ associated with the metric space ${mathbb P}(mathcal {C})$ is infinite-dimensional." @default.
- W3183172602 created "2021-08-02" @default.
- W3183172602 creator A5027240377 @default.
- W3183172602 date "2023-06-27" @default.
- W3183172602 modified "2023-09-29" @default.
- W3183172602 title "Cobordism distance on the projective space of the knot concordance group" @default.
- W3183172602 cites W1972803630 @default.
- W3183172602 cites W1979487604 @default.
- W3183172602 cites W1981331759 @default.
- W3183172602 cites W2003201470 @default.
- W3183172602 cites W2017419110 @default.
- W3183172602 cites W2035293958 @default.
- W3183172602 cites W2046702051 @default.
- W3183172602 cites W2054214317 @default.
- W3183172602 cites W2070540385 @default.
- W3183172602 cites W2086466086 @default.
- W3183172602 cites W2091024523 @default.
- W3183172602 cites W2964156623 @default.
- W3183172602 cites W3101589223 @default.
- W3183172602 cites W3102934758 @default.
- W3183172602 cites W3103315388 @default.
- W3183172602 cites W3184678007 @default.
- W3183172602 doi "https://doi.org/10.4153/s0008414x23000408" @default.
- W3183172602 hasPublicationYear "2023" @default.
- W3183172602 type Work @default.
- W3183172602 sameAs 3183172602 @default.
- W3183172602 citedByCount "0" @default.
- W3183172602 crossrefType "journal-article" @default.
- W3183172602 hasAuthorship W3183172602A5027240377 @default.
- W3183172602 hasBestOaLocation W31831726021 @default.
- W3183172602 hasConcept C114614502 @default.
- W3183172602 hasConcept C121332964 @default.
- W3183172602 hasConcept C127413603 @default.
- W3183172602 hasConcept C138885662 @default.
- W3183172602 hasConcept C202444582 @default.
- W3183172602 hasConcept C2778572836 @default.
- W3183172602 hasConcept C2779863119 @default.
- W3183172602 hasConcept C2780009758 @default.
- W3183172602 hasConcept C2781311116 @default.
- W3183172602 hasConcept C33923547 @default.
- W3183172602 hasConcept C41008148 @default.
- W3183172602 hasConcept C41895202 @default.
- W3183172602 hasConcept C42360764 @default.
- W3183172602 hasConcept C56213913 @default.
- W3183172602 hasConcept C62520636 @default.
- W3183172602 hasConcept C77088390 @default.
- W3183172602 hasConceptScore W3183172602C114614502 @default.
- W3183172602 hasConceptScore W3183172602C121332964 @default.
- W3183172602 hasConceptScore W3183172602C127413603 @default.
- W3183172602 hasConceptScore W3183172602C138885662 @default.
- W3183172602 hasConceptScore W3183172602C202444582 @default.
- W3183172602 hasConceptScore W3183172602C2778572836 @default.
- W3183172602 hasConceptScore W3183172602C2779863119 @default.
- W3183172602 hasConceptScore W3183172602C2780009758 @default.
- W3183172602 hasConceptScore W3183172602C2781311116 @default.
- W3183172602 hasConceptScore W3183172602C33923547 @default.
- W3183172602 hasConceptScore W3183172602C41008148 @default.
- W3183172602 hasConceptScore W3183172602C41895202 @default.
- W3183172602 hasConceptScore W3183172602C42360764 @default.
- W3183172602 hasConceptScore W3183172602C56213913 @default.
- W3183172602 hasConceptScore W3183172602C62520636 @default.
- W3183172602 hasConceptScore W3183172602C77088390 @default.
- W3183172602 hasLocation W31831726021 @default.
- W3183172602 hasLocation W31831726022 @default.
- W3183172602 hasOpenAccess W3183172602 @default.
- W3183172602 hasPrimaryLocation W31831726021 @default.
- W3183172602 hasRelatedWork W1992107672 @default.
- W3183172602 hasRelatedWork W2003961621 @default.
- W3183172602 hasRelatedWork W2017419110 @default.
- W3183172602 hasRelatedWork W2025910816 @default.
- W3183172602 hasRelatedWork W2035156587 @default.
- W3183172602 hasRelatedWork W2058033529 @default.
- W3183172602 hasRelatedWork W2314341987 @default.
- W3183172602 hasRelatedWork W2320714199 @default.
- W3183172602 hasRelatedWork W2793321405 @default.
- W3183172602 hasRelatedWork W4251651851 @default.
- W3183172602 isParatext "false" @default.
- W3183172602 isRetracted "false" @default.
- W3183172602 magId "3183172602" @default.
- W3183172602 workType "article" @default.