Matches in SemOpenAlex for { <https://semopenalex.org/work/W4302800718> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4302800718 abstract "Let $mathcal{L}$ be a knot with a fixed positive crossing and $mathcal{L}_n$ the link obtained by replacing this crossing with $n$ positive twists. We prove that the knot Floer homology $widehat{text{HFK}}(mathcal{L}_n)$ `stabilizes' as $n$ goes to infinity. This categorifies a similar stabilization phenomenon of the Alexander polynomial. As an application, we construct an infinite family of prime, positive mutant knots with isomorphic bigraded knot Floer homology groups. Moreover, given any pair of positive mutants, we describe how to derive a corresponding infinite family positive mutants with isomorphic bigraded $widehat{text{HFK}}$ groups, Seifert genera, and concordance invariant $tau$." @default.
- W4302800718 created "2022-10-07" @default.
- W4302800718 creator A5016063420 @default.
- W4302800718 date "2016-08-05" @default.
- W4302800718 modified "2023-09-23" @default.
- W4302800718 title "Twisting, mutation and knot Floer homology" @default.
- W4302800718 doi "https://doi.org/10.48550/arxiv.1608.02011" @default.
- W4302800718 hasPublicationYear "2016" @default.
- W4302800718 type Work @default.
- W4302800718 citedByCount "0" @default.
- W4302800718 crossrefType "posted-content" @default.
- W4302800718 hasAuthorship W4302800718A5016063420 @default.
- W4302800718 hasBestOaLocation W43028007181 @default.
- W4302800718 hasConcept C104317684 @default.
- W4302800718 hasConcept C114614502 @default.
- W4302800718 hasConcept C121294916 @default.
- W4302800718 hasConcept C127413603 @default.
- W4302800718 hasConcept C129946241 @default.
- W4302800718 hasConcept C143330242 @default.
- W4302800718 hasConcept C165525559 @default.
- W4302800718 hasConcept C168619227 @default.
- W4302800718 hasConcept C190470478 @default.
- W4302800718 hasConcept C202444582 @default.
- W4302800718 hasConcept C2779863119 @default.
- W4302800718 hasConcept C33923547 @default.
- W4302800718 hasConcept C36794415 @default.
- W4302800718 hasConcept C37914503 @default.
- W4302800718 hasConcept C40087271 @default.
- W4302800718 hasConcept C42360764 @default.
- W4302800718 hasConcept C54355233 @default.
- W4302800718 hasConcept C86803240 @default.
- W4302800718 hasConceptScore W4302800718C104317684 @default.
- W4302800718 hasConceptScore W4302800718C114614502 @default.
- W4302800718 hasConceptScore W4302800718C121294916 @default.
- W4302800718 hasConceptScore W4302800718C127413603 @default.
- W4302800718 hasConceptScore W4302800718C129946241 @default.
- W4302800718 hasConceptScore W4302800718C143330242 @default.
- W4302800718 hasConceptScore W4302800718C165525559 @default.
- W4302800718 hasConceptScore W4302800718C168619227 @default.
- W4302800718 hasConceptScore W4302800718C190470478 @default.
- W4302800718 hasConceptScore W4302800718C202444582 @default.
- W4302800718 hasConceptScore W4302800718C2779863119 @default.
- W4302800718 hasConceptScore W4302800718C33923547 @default.
- W4302800718 hasConceptScore W4302800718C36794415 @default.
- W4302800718 hasConceptScore W4302800718C37914503 @default.
- W4302800718 hasConceptScore W4302800718C40087271 @default.
- W4302800718 hasConceptScore W4302800718C42360764 @default.
- W4302800718 hasConceptScore W4302800718C54355233 @default.
- W4302800718 hasConceptScore W4302800718C86803240 @default.
- W4302800718 hasLocation W43028007181 @default.
- W4302800718 hasLocation W43028007182 @default.
- W4302800718 hasOpenAccess W4302800718 @default.
- W4302800718 hasPrimaryLocation W43028007181 @default.
- W4302800718 hasRelatedWork W1686261255 @default.
- W4302800718 hasRelatedWork W1960373838 @default.
- W4302800718 hasRelatedWork W2001601711 @default.
- W4302800718 hasRelatedWork W2025697134 @default.
- W4302800718 hasRelatedWork W2142101383 @default.
- W4302800718 hasRelatedWork W2182836249 @default.
- W4302800718 hasRelatedWork W2951889688 @default.
- W4302800718 hasRelatedWork W2964043395 @default.
- W4302800718 hasRelatedWork W3197756642 @default.
- W4302800718 hasRelatedWork W4298075318 @default.
- W4302800718 isParatext "false" @default.
- W4302800718 isRetracted "false" @default.
- W4302800718 workType "article" @default.