Matches in SemOpenAlex for { <https://semopenalex.org/work/W4226406216> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4226406216 abstract "In this paper, we give both positive and negative answers to Gromov's compactness question regarding positive scalar curvature metrics on noncompact manifolds. First we construct examples that give a negative answer to Gromov's compactness question. These examples are based on the non-vanishing of certain index theoretic invariants that arise at the infinity of the given underlying manifold. This is a $ sideset{}{^1}varprojlim$ phenomenon and naturally leads one to conjecture that Gromov's compactness question has a positive answer provided that these $ sideset{}{^1}varprojlim$ invariants also vanish. We prove this is indeed the case for a class of $1$-tame manifolds." @default.
- W4226406216 created "2022-05-05" @default.
- W4226406216 creator A5020451303 @default.
- W4226406216 creator A5043058455 @default.
- W4226406216 creator A5073943501 @default.
- W4226406216 date "2021-12-27" @default.
- W4226406216 modified "2023-09-29" @default.
- W4226406216 title "On Gromov's compactness question regarding positive scalar curvature" @default.
- W4226406216 doi "https://doi.org/10.48550/arxiv.2112.13897" @default.
- W4226406216 hasPublicationYear "2021" @default.
- W4226406216 type Work @default.
- W4226406216 citedByCount "0" @default.
- W4226406216 crossrefType "posted-content" @default.
- W4226406216 hasAuthorship W4226406216A5020451303 @default.
- W4226406216 hasAuthorship W4226406216A5043058455 @default.
- W4226406216 hasAuthorship W4226406216A5073943501 @default.
- W4226406216 hasBestOaLocation W42264062161 @default.
- W4226406216 hasConcept C12520029 @default.
- W4226406216 hasConcept C127413603 @default.
- W4226406216 hasConcept C134306372 @default.
- W4226406216 hasConcept C154945302 @default.
- W4226406216 hasConcept C18648836 @default.
- W4226406216 hasConcept C195065555 @default.
- W4226406216 hasConcept C202444582 @default.
- W4226406216 hasConcept C2524010 @default.
- W4226406216 hasConcept C2777212361 @default.
- W4226406216 hasConcept C2780990831 @default.
- W4226406216 hasConcept C33923547 @default.
- W4226406216 hasConcept C41008148 @default.
- W4226406216 hasConcept C529865628 @default.
- W4226406216 hasConcept C57691317 @default.
- W4226406216 hasConcept C7321624 @default.
- W4226406216 hasConcept C78519656 @default.
- W4226406216 hasConceptScore W4226406216C12520029 @default.
- W4226406216 hasConceptScore W4226406216C127413603 @default.
- W4226406216 hasConceptScore W4226406216C134306372 @default.
- W4226406216 hasConceptScore W4226406216C154945302 @default.
- W4226406216 hasConceptScore W4226406216C18648836 @default.
- W4226406216 hasConceptScore W4226406216C195065555 @default.
- W4226406216 hasConceptScore W4226406216C202444582 @default.
- W4226406216 hasConceptScore W4226406216C2524010 @default.
- W4226406216 hasConceptScore W4226406216C2777212361 @default.
- W4226406216 hasConceptScore W4226406216C2780990831 @default.
- W4226406216 hasConceptScore W4226406216C33923547 @default.
- W4226406216 hasConceptScore W4226406216C41008148 @default.
- W4226406216 hasConceptScore W4226406216C529865628 @default.
- W4226406216 hasConceptScore W4226406216C57691317 @default.
- W4226406216 hasConceptScore W4226406216C7321624 @default.
- W4226406216 hasConceptScore W4226406216C78519656 @default.
- W4226406216 hasLocation W42264062161 @default.
- W4226406216 hasOpenAccess W4226406216 @default.
- W4226406216 hasPrimaryLocation W42264062161 @default.
- W4226406216 hasRelatedWork W1974401042 @default.
- W4226406216 hasRelatedWork W2335754568 @default.
- W4226406216 hasRelatedWork W2530700982 @default.
- W4226406216 hasRelatedWork W2613609710 @default.
- W4226406216 hasRelatedWork W2788926302 @default.
- W4226406216 hasRelatedWork W2951079965 @default.
- W4226406216 hasRelatedWork W3080522738 @default.
- W4226406216 hasRelatedWork W3104587428 @default.
- W4226406216 hasRelatedWork W4291608370 @default.
- W4226406216 hasRelatedWork W4299554660 @default.
- W4226406216 isParatext "false" @default.
- W4226406216 isRetracted "false" @default.
- W4226406216 workType "article" @default.