Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952034310> ?p ?o ?g. }
- W2952034310 abstract "Every element in the first cohomology group of a 3--manifold is dual to embedded surfaces. The Thurston norm measures the minimal `complexity' of such surfaces. For instance the Thurston norm of a knot complement determines the genus of the knot in the 3--sphere. We show that the degrees of twisted Alexander polynomials give lower bounds on the Thurston norm, generalizing work of McMullen and Turaev. Our bounds attain their most concise form when interpreted as the degrees of the Reidemeister torsion of a certain twisted chain complex. We show that these lower bounds give the correct genus bounds for all knots with 12 crossings or less, including the Conway knot and the Kinoshita--Terasaka knot which have trivial Alexander polynomial." @default.
- W2952034310 created "2019-06-27" @default.
- W2952034310 creator A5031885225 @default.
- W2952034310 creator A5089227212 @default.
- W2952034310 date "2005-05-26" @default.
- W2952034310 modified "2023-09-27" @default.
- W2952034310 title "Thurston norm, fibered manifolds and twisted Alexander polynomials" @default.
- W2952034310 cites W1515163411 @default.
- W2952034310 cites W1560527130 @default.
- W2952034310 cites W1584738517 @default.
- W2952034310 cites W1596833377 @default.
- W2952034310 cites W1598639929 @default.
- W2952034310 cites W1606226522 @default.
- W2952034310 cites W1607742244 @default.
- W2952034310 cites W1662850883 @default.
- W2952034310 cites W177914055 @default.
- W2952034310 cites W1829642550 @default.
- W2952034310 cites W1973366903 @default.
- W2952034310 cites W1973408701 @default.
- W2952034310 cites W1977048755 @default.
- W2952034310 cites W1977904090 @default.
- W2952034310 cites W1995740345 @default.
- W2952034310 cites W2014519768 @default.
- W2952034310 cites W2032119731 @default.
- W2952034310 cites W2032179655 @default.
- W2952034310 cites W2044720368 @default.
- W2952034310 cites W2046914820 @default.
- W2952034310 cites W2047051623 @default.
- W2952034310 cites W2093914711 @default.
- W2952034310 cites W2158251088 @default.
- W2952034310 cites W2164106566 @default.
- W2952034310 cites W2164815243 @default.
- W2952034310 cites W2314799746 @default.
- W2952034310 cites W2330256743 @default.
- W2952034310 cites W2950832000 @default.
- W2952034310 cites W3101003529 @default.
- W2952034310 cites W3104568284 @default.
- W2952034310 cites W122881644 @default.
- W2952034310 cites W2139676949 @default.
- W2952034310 hasPublicationYear "2005" @default.
- W2952034310 type Work @default.
- W2952034310 sameAs 2952034310 @default.
- W2952034310 citedByCount "1" @default.
- W2952034310 crossrefType "posted-content" @default.
- W2952034310 hasAuthorship W2952034310A5031885225 @default.
- W2952034310 hasAuthorship W2952034310A5089227212 @default.
- W2952034310 hasConcept C114614502 @default.
- W2952034310 hasConcept C127413603 @default.
- W2952034310 hasConcept C129946241 @default.
- W2952034310 hasConcept C133776654 @default.
- W2952034310 hasConcept C141071460 @default.
- W2952034310 hasConcept C143330242 @default.
- W2952034310 hasConcept C17744445 @default.
- W2952034310 hasConcept C191795146 @default.
- W2952034310 hasConcept C193125933 @default.
- W2952034310 hasConcept C199539241 @default.
- W2952034310 hasConcept C202444582 @default.
- W2952034310 hasConcept C2779863119 @default.
- W2952034310 hasConcept C33923547 @default.
- W2952034310 hasConcept C36794415 @default.
- W2952034310 hasConcept C42360764 @default.
- W2952034310 hasConcept C71924100 @default.
- W2952034310 hasConcept C77461463 @default.
- W2952034310 hasConcept C78231820 @default.
- W2952034310 hasConceptScore W2952034310C114614502 @default.
- W2952034310 hasConceptScore W2952034310C127413603 @default.
- W2952034310 hasConceptScore W2952034310C129946241 @default.
- W2952034310 hasConceptScore W2952034310C133776654 @default.
- W2952034310 hasConceptScore W2952034310C141071460 @default.
- W2952034310 hasConceptScore W2952034310C143330242 @default.
- W2952034310 hasConceptScore W2952034310C17744445 @default.
- W2952034310 hasConceptScore W2952034310C191795146 @default.
- W2952034310 hasConceptScore W2952034310C193125933 @default.
- W2952034310 hasConceptScore W2952034310C199539241 @default.
- W2952034310 hasConceptScore W2952034310C202444582 @default.
- W2952034310 hasConceptScore W2952034310C2779863119 @default.
- W2952034310 hasConceptScore W2952034310C33923547 @default.
- W2952034310 hasConceptScore W2952034310C36794415 @default.
- W2952034310 hasConceptScore W2952034310C42360764 @default.
- W2952034310 hasConceptScore W2952034310C71924100 @default.
- W2952034310 hasConceptScore W2952034310C77461463 @default.
- W2952034310 hasConceptScore W2952034310C78231820 @default.
- W2952034310 hasLocation W29520343101 @default.
- W2952034310 hasOpenAccess W2952034310 @default.
- W2952034310 hasPrimaryLocation W29520343101 @default.
- W2952034310 hasRelatedWork W1983881282 @default.
- W2952034310 hasRelatedWork W1993840162 @default.
- W2952034310 hasRelatedWork W2005297248 @default.
- W2952034310 hasRelatedWork W2030379066 @default.
- W2952034310 hasRelatedWork W2071829673 @default.
- W2952034310 hasRelatedWork W2080300752 @default.
- W2952034310 hasRelatedWork W2112703053 @default.
- W2952034310 hasRelatedWork W2136184416 @default.
- W2952034310 hasRelatedWork W2336549946 @default.
- W2952034310 hasRelatedWork W2346203214 @default.
- W2952034310 hasRelatedWork W2949984278 @default.
- W2952034310 hasRelatedWork W2952021740 @default.
- W2952034310 hasRelatedWork W2952303349 @default.
- W2952034310 hasRelatedWork W2962982047 @default.
- W2952034310 hasRelatedWork W2963058871 @default.