FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963594542> ?p ?o ?g. }

• W2963594542 endingPage "5348" @default.
• W2963594542 startingPage "5290" @default.
• W2963594542 abstract "Abstract Just like Atiyah Lie algebroids encode the infinitesimal symmetries of principal bundles, exact Courant algebroids encode the infinitesimal symmetries of $S^1$-gerbes. At the same time, transitive Courant algebroids may be viewed as the higher analog of Atiyah Lie algebroids and the noncommutative analog of exact Courant algebroids. In this article, we explore what the “principal bundles” behind transitive Courant algebroids are, and they turn out to be principal 2-bundles of string groups. First, we construct the stack of principal 2-bundles of string groups with connection data. We prove a lifting theorem for the stack of string principal bundles with connections and show the multiplicity of the lifts once they exist. This is a differential geometrical refinement of what is known for string structures by Redden, Waldorf, and Stolz–Teichner. We also extend the result of Bressler and Chen et al. on extension obstruction involving transitive Courant algebroids to the case of transitive Courant algebroids with connections, as a lifting theorem with the description of multiplicity once liftings exist. At the end, we build a morphism between these two stacks. The morphism turns out to be neither injective nor surjective in general, which shows that the process of associating the “higher Atiyah algebroid” loses some information and at the same time, only some special transitive Courant algebroids come from string bundles." @default.
• W2963594542 created "2019-07-30" @default.
• W2963594542 creator A5019142880 @default.
• W2963594542 creator A5056296112 @default.
• W2963594542 creator A5060944941 @default.
• W2963594542 date "2019-02-05" @default.
• W2963594542 modified "2023-09-25" @default.
• W2963594542 title "String Principal Bundles and Courant Algebroids" @default.
• W2963594542 cites W1538654631 @default.
• W2963594542 cites W1569105725 @default.
• W2963594542 cites W1588064432 @default.
• W2963594542 cites W1842315605 @default.
• W2963594542 cites W1964126983 @default.
• W2963594542 cites W1980908977 @default.
• W2963594542 cites W1982480952 @default.
• W2963594542 cites W2013730008 @default.
• W2963594542 cites W2024272780 @default.
• W2963594542 cites W2025502596 @default.
• W2963594542 cites W2032765151 @default.
• W2963594542 cites W2032790292 @default.
• W2963594542 cites W2041947582 @default.
• W2963594542 cites W2044409636 @default.
• W2963594542 cites W2053025788 @default.
• W2963594542 cites W2104487022 @default.
• W2963594542 cites W2507389595 @default.
• W2963594542 cites W2594725194 @default.
• W2963594542 cites W2952549800 @default.
• W2963594542 cites W2962761601 @default.
• W2963594542 cites W2962959266 @default.
• W2963594542 cites W2963057343 @default.
• W2963594542 cites W2963349078 @default.
• W2963594542 cites W2963391747 @default.
• W2963594542 cites W2963411582 @default.
• W2963594542 cites W2963487724 @default.
• W2963594542 cites W2963949218 @default.
• W2963594542 cites W2963968163 @default.
• W2963594542 cites W3014336355 @default.
• W2963594542 cites W3037272886 @default.
• W2963594542 cites W3080493241 @default.
• W2963594542 cites W3101877175 @default.
• W2963594542 cites W3101936048 @default.
• W2963594542 cites W3102323986 @default.
• W2963594542 cites W3103746131 @default.
• W2963594542 cites W3105748598 @default.
• W2963594542 cites W3105891980 @default.
• W2963594542 cites W3106022409 @default.
• W2963594542 cites W4205487192 @default.
• W2963594542 cites W46349082 @default.
• W2963594542 cites W46869913 @default.
• W2963594542 doi "https://doi.org/10.1093/imrn/rnz017" @default.
• W2963594542 hasPublicationYear "2019" @default.
• W2963594542 type Work @default.
• W2963594542 sameAs 2963594542 @default.
• W2963594542 citedByCount "3" @default.
• W2963594542 countsByYear W29635945422018 @default.
• W2963594542 countsByYear W29635945422020 @default.
• W2963594542 crossrefType "journal-article" @default.
• W2963594542 hasAuthorship W2963594542A5019142880 @default.
• W2963594542 hasAuthorship W2963594542A5056296112 @default.
• W2963594542 hasAuthorship W2963594542A5060944941 @default.
• W2963594542 hasBestOaLocation W29635945422 @default.
• W2963594542 hasConcept C104317684 @default.
• W2963594542 hasConcept C114614502 @default.
• W2963594542 hasConcept C128107574 @default.
• W2963594542 hasConcept C137212723 @default.
• W2963594542 hasConcept C165525559 @default.
• W2963594542 hasConcept C185592680 @default.
• W2963594542 hasConcept C191399111 @default.
• W2963594542 hasConcept C202444582 @default.
• W2963594542 hasConcept C2524010 @default.
• W2963594542 hasConcept C2776503324 @default.
• W2963594542 hasConcept C33923547 @default.
• W2963594542 hasConcept C44594293 @default.
• W2963594542 hasConcept C51568863 @default.
• W2963594542 hasConcept C55493867 @default.
• W2963594542 hasConcept C56907000 @default.
• W2963594542 hasConcept C78606066 @default.
• W2963594542 hasConcept C95857938 @default.
• W2963594542 hasConcept C96469262 @default.
• W2963594542 hasConceptScore W2963594542C104317684 @default.
• W2963594542 hasConceptScore W2963594542C114614502 @default.
• W2963594542 hasConceptScore W2963594542C128107574 @default.
• W2963594542 hasConceptScore W2963594542C137212723 @default.
• W2963594542 hasConceptScore W2963594542C165525559 @default.
• W2963594542 hasConceptScore W2963594542C185592680 @default.
• W2963594542 hasConceptScore W2963594542C191399111 @default.
• W2963594542 hasConceptScore W2963594542C202444582 @default.
• W2963594542 hasConceptScore W2963594542C2524010 @default.
• W2963594542 hasConceptScore W2963594542C2776503324 @default.
• W2963594542 hasConceptScore W2963594542C33923547 @default.
• W2963594542 hasConceptScore W2963594542C44594293 @default.
• W2963594542 hasConceptScore W2963594542C51568863 @default.
• W2963594542 hasConceptScore W2963594542C55493867 @default.
• W2963594542 hasConceptScore W2963594542C56907000 @default.
• W2963594542 hasConceptScore W2963594542C78606066 @default.
• W2963594542 hasConceptScore W2963594542C95857938 @default.
• W2963594542 hasConceptScore W2963594542C96469262 @default.
• W2963594542 hasFunder F4320310121 @default.

• next