Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104884309> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W3104884309 endingPage "3040" @default.
- W3104884309 startingPage "3003" @default.
- W3104884309 abstract "The observer moduli space of Riemannian metrics is the quotient of the space $mathcal{R}(M)$ of all Riemannian metrics on a manifold $M$ by the group of diffeomorphisms $mathrm{Diff}_{x_0}(M)$ which fix both a basepoint $x_0$ and the tangent space at $x_0$. The group $mathrm{Diff}_{x_0}(M)$ acts freely on $mathcal{R}(M)$ providing $M$ is connected. This offers certain advantages over the classic moduli space, which is the quotient by the full diffeomorphism group. Results due to Botvinnik, Hanke, Schick and Walsh, and to Hanke, Schick and Steimle have demonstrated that the higher homotopy groups of the observer moduli space $mathcal{M}_{x_0}^{s>0}(M)$ of positive scalar curvature metrics are, in many cases, non-trivial. The aim in the current paper is to establish similar results for the moduli space $mathcal{M}_{x_0}^{mathrm{Ric}>0}(M)$ of metrics with positive Ricci curvature. In particular we show that for a given $k$, there are infinite order elements in the homotopy group $pi_{4k}mathcal{M}_{x_0}^{mathrm{Ric}>0}(S^n)$ provided the dimension $n$ is odd and sufficiently large. In establishing this we make use of a gluing result of Perelman. We provide full details of the proof of this gluing theorem, which we believe have not appeared before in the literature. We also extend this to a family gluing theorem for Ricci positive manifolds." @default.
- W3104884309 created "2020-11-23" @default.
- W3104884309 creator A5038575066 @default.
- W3104884309 creator A5061502259 @default.
- W3104884309 creator A5085377595 @default.
- W3104884309 date "2019-12-01" @default.
- W3104884309 modified "2023-10-02" @default.
- W3104884309 title "Homotopy groups of the observer moduli space of Ricci positive metrics" @default.
- W3104884309 cites W1557324374 @default.
- W3104884309 cites W1996806140 @default.
- W3104884309 cites W2013024997 @default.
- W3104884309 cites W2033790838 @default.
- W3104884309 cites W2066457680 @default.
- W3104884309 cites W2340716596 @default.
- W3104884309 cites W2964344138 @default.
- W3104884309 cites W3104352874 @default.
- W3104884309 cites W3105529335 @default.
- W3104884309 cites W3123148434 @default.
- W3104884309 cites W3125020835 @default.
- W3104884309 cites W4231354537 @default.
- W3104884309 cites W4234096361 @default.
- W3104884309 cites W4235840289 @default.
- W3104884309 cites W4236947397 @default.
- W3104884309 cites W4239208699 @default.
- W3104884309 cites W4240542879 @default.
- W3104884309 cites W4242522601 @default.
- W3104884309 cites W4246697835 @default.
- W3104884309 cites W4255896350 @default.
- W3104884309 cites W567298565 @default.
- W3104884309 doi "https://doi.org/10.2140/gt.2019.23.3003" @default.
- W3104884309 hasPublicationYear "2019" @default.
- W3104884309 type Work @default.
- W3104884309 sameAs 3104884309 @default.
- W3104884309 citedByCount "9" @default.
- W3104884309 countsByYear W31048843092020 @default.
- W3104884309 countsByYear W31048843092021 @default.
- W3104884309 countsByYear W31048843092022 @default.
- W3104884309 countsByYear W31048843092023 @default.
- W3104884309 crossrefType "journal-article" @default.
- W3104884309 hasAuthorship W3104884309A5038575066 @default.
- W3104884309 hasAuthorship W3104884309A5061502259 @default.
- W3104884309 hasAuthorship W3104884309A5085377595 @default.
- W3104884309 hasBestOaLocation W31048843092 @default.
- W3104884309 hasConcept C12089564 @default.
- W3104884309 hasConcept C121332964 @default.
- W3104884309 hasConcept C12520029 @default.
- W3104884309 hasConcept C147688034 @default.
- W3104884309 hasConcept C195065555 @default.
- W3104884309 hasConcept C199422724 @default.
- W3104884309 hasConcept C202444582 @default.
- W3104884309 hasConcept C2524010 @default.
- W3104884309 hasConcept C2781311116 @default.
- W3104884309 hasConcept C33923547 @default.
- W3104884309 hasConcept C42448751 @default.
- W3104884309 hasConcept C5961521 @default.
- W3104884309 hasConcept C62520636 @default.
- W3104884309 hasConcept C73373263 @default.
- W3104884309 hasConceptScore W3104884309C12089564 @default.
- W3104884309 hasConceptScore W3104884309C121332964 @default.
- W3104884309 hasConceptScore W3104884309C12520029 @default.
- W3104884309 hasConceptScore W3104884309C147688034 @default.
- W3104884309 hasConceptScore W3104884309C195065555 @default.
- W3104884309 hasConceptScore W3104884309C199422724 @default.
- W3104884309 hasConceptScore W3104884309C202444582 @default.
- W3104884309 hasConceptScore W3104884309C2524010 @default.
- W3104884309 hasConceptScore W3104884309C2781311116 @default.
- W3104884309 hasConceptScore W3104884309C33923547 @default.
- W3104884309 hasConceptScore W3104884309C42448751 @default.
- W3104884309 hasConceptScore W3104884309C5961521 @default.
- W3104884309 hasConceptScore W3104884309C62520636 @default.
- W3104884309 hasConceptScore W3104884309C73373263 @default.
- W3104884309 hasIssue "6" @default.
- W3104884309 hasLocation W31048843091 @default.
- W3104884309 hasLocation W31048843092 @default.
- W3104884309 hasLocation W31048843093 @default.
- W3104884309 hasLocation W31048843094 @default.
- W3104884309 hasOpenAccess W3104884309 @default.
- W3104884309 hasPrimaryLocation W31048843091 @default.
- W3104884309 hasRelatedWork W2950426257 @default.
- W3104884309 hasRelatedWork W2963277391 @default.
- W3104884309 hasRelatedWork W3037974969 @default.
- W3104884309 hasRelatedWork W3104884309 @default.
- W3104884309 hasRelatedWork W4287752451 @default.
- W3104884309 hasRelatedWork W4287752600 @default.
- W3104884309 hasRelatedWork W4288562675 @default.
- W3104884309 hasRelatedWork W4315588415 @default.
- W3104884309 hasRelatedWork W4319781469 @default.
- W3104884309 hasRelatedWork W4386216416 @default.
- W3104884309 hasVolume "23" @default.
- W3104884309 isParatext "false" @default.
- W3104884309 isRetracted "false" @default.
- W3104884309 magId "3104884309" @default.
- W3104884309 workType "article" @default.