Matches in SemOpenAlex for { <https://semopenalex.org/work/W4281701359> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4281701359 abstract "In 1979, Hartley and Kawauchi proved that the Conway polynomial of a strongly negative amphichiral knot factors as $f(z)f(-z)$. In this paper, we normalize the factor $f(z)$ to define the half-Conway polynomial. First, we prove that the half-Conway polynomial satisfies an equivariant skein relation, giving the first feasible computational method, which we use to compute the half-Conway polynomial for knots with 12 or fewer crossings. This skein relation also leads to a diagrammatic interpretation of the degree-one coefficient, from which we obtain a lower bound on the equivariant unknotting number. Second, we completely characterize polynomials arising as half-Conway polynomials of knots in $S^3$, answering a problem of Hartley-Kawauchi. As a special case, we construct the first examples of non-slice strongly negative amphichiral knots with determinant one, answering a question of Manolescu. The double branched covers of these knots provide potentially non-trivial torsion elements in the homology cobordism group." @default.
- W4281701359 created "2022-06-13" @default.
- W4281701359 creator A5010229353 @default.
- W4281701359 creator A5009261045 @default.
- W4281701359 date "2022-06-07" @default.
- W4281701359 modified "2023-10-17" @default.
- W4281701359 title "Negative amphichiral knots and the half-Conway polynomial" @default.
- W4281701359 doi "https://doi.org/10.48550/arxiv.2206.03598" @default.
- W4281701359 hasPublicationYear "2022" @default.
- W4281701359 type Work @default.
- W4281701359 citedByCount "0" @default.
- W4281701359 crossrefType "posted-content" @default.
- W4281701359 hasAuthorship W4281701359A5009261045 @default.
- W4281701359 hasAuthorship W4281701359A5010229353 @default.
- W4281701359 hasBestOaLocation W42817013591 @default.
- W4281701359 hasConcept C101044782 @default.
- W4281701359 hasConcept C101525915 @default.
- W4281701359 hasConcept C114614502 @default.
- W4281701359 hasConcept C127413603 @default.
- W4281701359 hasConcept C129946241 @default.
- W4281701359 hasConcept C132770796 @default.
- W4281701359 hasConcept C134306372 @default.
- W4281701359 hasConcept C141071460 @default.
- W4281701359 hasConcept C143330242 @default.
- W4281701359 hasConcept C144243451 @default.
- W4281701359 hasConcept C170412648 @default.
- W4281701359 hasConcept C171036898 @default.
- W4281701359 hasConcept C194674032 @default.
- W4281701359 hasConcept C202444582 @default.
- W4281701359 hasConcept C2779863119 @default.
- W4281701359 hasConcept C33923547 @default.
- W4281701359 hasConcept C40087271 @default.
- W4281701359 hasConcept C42360764 @default.
- W4281701359 hasConcept C52007518 @default.
- W4281701359 hasConcept C56213913 @default.
- W4281701359 hasConcept C58666742 @default.
- W4281701359 hasConcept C71924100 @default.
- W4281701359 hasConcept C77461463 @default.
- W4281701359 hasConcept C90119067 @default.
- W4281701359 hasConceptScore W4281701359C101044782 @default.
- W4281701359 hasConceptScore W4281701359C101525915 @default.
- W4281701359 hasConceptScore W4281701359C114614502 @default.
- W4281701359 hasConceptScore W4281701359C127413603 @default.
- W4281701359 hasConceptScore W4281701359C129946241 @default.
- W4281701359 hasConceptScore W4281701359C132770796 @default.
- W4281701359 hasConceptScore W4281701359C134306372 @default.
- W4281701359 hasConceptScore W4281701359C141071460 @default.
- W4281701359 hasConceptScore W4281701359C143330242 @default.
- W4281701359 hasConceptScore W4281701359C144243451 @default.
- W4281701359 hasConceptScore W4281701359C170412648 @default.
- W4281701359 hasConceptScore W4281701359C171036898 @default.
- W4281701359 hasConceptScore W4281701359C194674032 @default.
- W4281701359 hasConceptScore W4281701359C202444582 @default.
- W4281701359 hasConceptScore W4281701359C2779863119 @default.
- W4281701359 hasConceptScore W4281701359C33923547 @default.
- W4281701359 hasConceptScore W4281701359C40087271 @default.
- W4281701359 hasConceptScore W4281701359C42360764 @default.
- W4281701359 hasConceptScore W4281701359C52007518 @default.
- W4281701359 hasConceptScore W4281701359C56213913 @default.
- W4281701359 hasConceptScore W4281701359C58666742 @default.
- W4281701359 hasConceptScore W4281701359C71924100 @default.
- W4281701359 hasConceptScore W4281701359C77461463 @default.
- W4281701359 hasConceptScore W4281701359C90119067 @default.
- W4281701359 hasLocation W42817013591 @default.
- W4281701359 hasLocation W42817013592 @default.
- W4281701359 hasOpenAccess W4281701359 @default.
- W4281701359 hasPrimaryLocation W42817013591 @default.
- W4281701359 hasRelatedWork W1708330518 @default.
- W4281701359 hasRelatedWork W1969303672 @default.
- W4281701359 hasRelatedWork W1982211104 @default.
- W4281701359 hasRelatedWork W2081196071 @default.
- W4281701359 hasRelatedWork W2952919073 @default.
- W4281701359 hasRelatedWork W3085116887 @default.
- W4281701359 hasRelatedWork W3198993497 @default.
- W4281701359 hasRelatedWork W4281701359 @default.
- W4281701359 hasRelatedWork W4283834610 @default.
- W4281701359 hasRelatedWork W4377137004 @default.
- W4281701359 isParatext "false" @default.
- W4281701359 isRetracted "false" @default.
- W4281701359 workType "article" @default.