Matches in SemOpenAlex for { <https://semopenalex.org/work/W2217554292> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W2217554292 abstract "A general question behind this paper is to explore a good notion for intrinsic curvature in the framework of noncommutative geometry started by Alain Connes in the 80s. It has only recently begun (2014) to be comprehended via the intensive study of modular geometry on the noncommutative two tori. In this paper, we extend recent results on the modular geometry on noncommutative two tori to a larger class of noncommutative manifolds: toric noncommutative manifolds. The first contribution of this work is a pseudo differential calculus which is suitable for spectral geometry on toric noncommutative manifolds. As the main application, we derive a general expression for the modular curvature with respect to a conformal change of metric on toric noncommutative manifolds. By specializing our results to the noncommutative two and four tori, we recovered the modular curvature functions found in the previous works. An important technical aspect of the computation is that it is free of computer assistance." @default.
- W2217554292 created "2016-06-24" @default.
- W2217554292 creator A5038873277 @default.
- W2217554292 date "2015-10-15" @default.
- W2217554292 modified "2023-09-23" @default.
- W2217554292 title "Modular curvature for toric noncommutative manifolds" @default.
- W2217554292 cites W1941843232 @default.
- W2217554292 doi "https://doi.org/10.48550/arxiv.1510.04668" @default.
- W2217554292 hasPublicationYear "2015" @default.
- W2217554292 type Work @default.
- W2217554292 sameAs 2217554292 @default.
- W2217554292 citedByCount "5" @default.
- W2217554292 countsByYear W22175542922016 @default.
- W2217554292 countsByYear W22175542922017 @default.
- W2217554292 countsByYear W22175542922018 @default.
- W2217554292 crossrefType "posted-content" @default.
- W2217554292 hasAuthorship W2217554292A5038873277 @default.
- W2217554292 hasBestOaLocation W22175542921 @default.
- W2217554292 hasConcept C136119220 @default.
- W2217554292 hasConcept C162324750 @default.
- W2217554292 hasConcept C176217482 @default.
- W2217554292 hasConcept C193645952 @default.
- W2217554292 hasConcept C195065555 @default.
- W2217554292 hasConcept C202444582 @default.
- W2217554292 hasConcept C21547014 @default.
- W2217554292 hasConcept C2524010 @default.
- W2217554292 hasConcept C29384965 @default.
- W2217554292 hasConcept C33923547 @default.
- W2217554292 hasConcept C68797384 @default.
- W2217554292 hasConcept C9767117 @default.
- W2217554292 hasConceptScore W2217554292C136119220 @default.
- W2217554292 hasConceptScore W2217554292C162324750 @default.
- W2217554292 hasConceptScore W2217554292C176217482 @default.
- W2217554292 hasConceptScore W2217554292C193645952 @default.
- W2217554292 hasConceptScore W2217554292C195065555 @default.
- W2217554292 hasConceptScore W2217554292C202444582 @default.
- W2217554292 hasConceptScore W2217554292C21547014 @default.
- W2217554292 hasConceptScore W2217554292C2524010 @default.
- W2217554292 hasConceptScore W2217554292C29384965 @default.
- W2217554292 hasConceptScore W2217554292C33923547 @default.
- W2217554292 hasConceptScore W2217554292C68797384 @default.
- W2217554292 hasConceptScore W2217554292C9767117 @default.
- W2217554292 hasLocation W22175542921 @default.
- W2217554292 hasLocation W22175542922 @default.
- W2217554292 hasOpenAccess W2217554292 @default.
- W2217554292 hasPrimaryLocation W22175542921 @default.
- W2217554292 hasRelatedWork W1504709221 @default.
- W2217554292 hasRelatedWork W1966180123 @default.
- W2217554292 hasRelatedWork W1993323468 @default.
- W2217554292 hasRelatedWork W2014284591 @default.
- W2217554292 hasRelatedWork W2148083614 @default.
- W2217554292 hasRelatedWork W2950222756 @default.
- W2217554292 hasRelatedWork W2950445486 @default.
- W2217554292 hasRelatedWork W2964329269 @default.
- W2217554292 hasRelatedWork W3100980142 @default.
- W2217554292 hasRelatedWork W560796512 @default.
- W2217554292 isParatext "false" @default.
- W2217554292 isRetracted "false" @default.
- W2217554292 magId "2217554292" @default.
- W2217554292 workType "article" @default.