Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964812897> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2964812897 abstract "We define a Z/48-valued homotopy invariant nu of a G_2-structure on the tangent bundle of a closed 7-manifold in terms of the signature and Euler characteristic of a coboundary with a Spin(7)-structure. For manifolds of holonomy G_2 obtained by the twisted connected sum construction, the associated torsion-free G_2-structure always has nu = 24. Some holonomy G_2 examples constructed by Joyce by desingularising orbifolds have odd nu. We define a further homotopy invariant xi of G_2-structures such that if M is 2-connected then the pair (nu, xi) determines a G_2-structure up to homotopy and diffeomorphism. The class of a G_2-structure is determined by nu on its own when the greatest divisor of p_1(M) modulo torsion divides 224; this sufficient condition holds for many twisted connected sum G_2-manifolds. We also prove that the parametric h-principle holds for coclosed G_2-structures." @default.
- W2964812897 created "2019-08-13" @default.
- W2964812897 creator A5012602442 @default.
- W2964812897 creator A5052382587 @default.
- W2964812897 date "2012-11-01" @default.
- W2964812897 modified "2023-09-27" @default.
- W2964812897 title "A new invariant of G_2-structures" @default.
- W2964812897 hasPublicationYear "2012" @default.
- W2964812897 type Work @default.
- W2964812897 sameAs 2964812897 @default.
- W2964812897 citedByCount "0" @default.
- W2964812897 crossrefType "posted-content" @default.
- W2964812897 hasAuthorship W2964812897A5012602442 @default.
- W2964812897 hasAuthorship W2964812897A5052382587 @default.
- W2964812897 hasConcept C114614502 @default.
- W2964812897 hasConcept C141071460 @default.
- W2964812897 hasConcept C157157409 @default.
- W2964812897 hasConcept C167204820 @default.
- W2964812897 hasConcept C190470478 @default.
- W2964812897 hasConcept C196433757 @default.
- W2964812897 hasConcept C202444582 @default.
- W2964812897 hasConcept C28903235 @default.
- W2964812897 hasConcept C32518243 @default.
- W2964812897 hasConcept C33923547 @default.
- W2964812897 hasConcept C37914503 @default.
- W2964812897 hasConcept C47556283 @default.
- W2964812897 hasConcept C50955798 @default.
- W2964812897 hasConcept C54732982 @default.
- W2964812897 hasConcept C5961521 @default.
- W2964812897 hasConcept C71924100 @default.
- W2964812897 hasConcept C77461463 @default.
- W2964812897 hasConceptScore W2964812897C114614502 @default.
- W2964812897 hasConceptScore W2964812897C141071460 @default.
- W2964812897 hasConceptScore W2964812897C157157409 @default.
- W2964812897 hasConceptScore W2964812897C167204820 @default.
- W2964812897 hasConceptScore W2964812897C190470478 @default.
- W2964812897 hasConceptScore W2964812897C196433757 @default.
- W2964812897 hasConceptScore W2964812897C202444582 @default.
- W2964812897 hasConceptScore W2964812897C28903235 @default.
- W2964812897 hasConceptScore W2964812897C32518243 @default.
- W2964812897 hasConceptScore W2964812897C33923547 @default.
- W2964812897 hasConceptScore W2964812897C37914503 @default.
- W2964812897 hasConceptScore W2964812897C47556283 @default.
- W2964812897 hasConceptScore W2964812897C50955798 @default.
- W2964812897 hasConceptScore W2964812897C54732982 @default.
- W2964812897 hasConceptScore W2964812897C5961521 @default.
- W2964812897 hasConceptScore W2964812897C71924100 @default.
- W2964812897 hasConceptScore W2964812897C77461463 @default.
- W2964812897 hasLocation W29648128971 @default.
- W2964812897 hasOpenAccess W2964812897 @default.
- W2964812897 hasPrimaryLocation W29648128971 @default.
- W2964812897 hasRelatedWork W1510100584 @default.
- W2964812897 hasRelatedWork W1533912997 @default.
- W2964812897 hasRelatedWork W1958075929 @default.
- W2964812897 hasRelatedWork W1969799018 @default.
- W2964812897 hasRelatedWork W2015834460 @default.
- W2964812897 hasRelatedWork W2016598140 @default.
- W2964812897 hasRelatedWork W2033502755 @default.
- W2964812897 hasRelatedWork W2062246825 @default.
- W2964812897 hasRelatedWork W2149055300 @default.
- W2964812897 hasRelatedWork W2321301008 @default.
- W2964812897 hasRelatedWork W2547868065 @default.
- W2964812897 hasRelatedWork W261134129 @default.
- W2964812897 hasRelatedWork W2734632479 @default.
- W2964812897 hasRelatedWork W2945963386 @default.
- W2964812897 hasRelatedWork W2949910747 @default.
- W2964812897 hasRelatedWork W2951290946 @default.
- W2964812897 hasRelatedWork W2952201464 @default.
- W2964812897 hasRelatedWork W3007382583 @default.
- W2964812897 hasRelatedWork W3169507320 @default.
- W2964812897 hasRelatedWork W1651323366 @default.
- W2964812897 isParatext "false" @default.
- W2964812897 isRetracted "false" @default.
- W2964812897 magId "2964812897" @default.
- W2964812897 workType "article" @default.