FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103729200> ?p ?o ?g. }

• W3103729200 endingPage "2048" @default.
• W3103729200 startingPage "2001" @default.
• W3103729200 abstract "We present a generalization of Minkowski's classic theorem on the reconstruction of tetrahedra from algebraic data to homogeneously curved spaces. Euclidean notions such as the normal vector to a face are replaced by Levi-Civita holonomies around each of the tetrahedron's faces. This allows the reconstruction of both spherical and hyperbolic tetrahedra within a unified framework. A new type of hyperbolic simplex is introduced in order for all the sectors encoded in the algebraic data to be covered. Generalizing the phase space of shapes associated to flat tetrahedra leads to group valued moment maps and quasi-Poisson spaces. These discrete geometries provide a natural arena for considering the quantization of gravity including a cosmological constant. A concrete realization of this is provided by the relation with the spin-network states of loop quantum gravity. This work therefore provides a bottom-up justification for the emergence of deformed gauge symmetries and quantum groups in 3+1 dimensional covariant loop quantum gravity in the presence of a cosmological constant." @default.
• W3103729200 created "2020-11-23" @default.
• W3103729200 creator A5037497960 @default.
• W3103729200 creator A5073086952 @default.
• W3103729200 creator A5082979661 @default.
• W3103729200 date "2015-12-30" @default.
• W3103729200 modified "2023-10-07" @default.
• W3103729200 title "Encoding Curved Tetrahedra in Face Holonomies: Phase Space of Shapes from Group-Valued Moment Maps" @default.
• W3103729200 cites W1499008244 @default.
• W3103729200 cites W1515431404 @default.
• W3103729200 cites W1525743445 @default.
• W3103729200 cites W1563073789 @default.
• W3103729200 cites W1571839244 @default.
• W3103729200 cites W1588064432 @default.
• W3103729200 cites W1643540041 @default.
• W3103729200 cites W1691063159 @default.
• W3103729200 cites W1947273351 @default.
• W3103729200 cites W1969737000 @default.
• W3103729200 cites W1970278237 @default.
• W3103729200 cites W1976604005 @default.
• W3103729200 cites W1992782693 @default.
• W3103729200 cites W1997750865 @default.
• W3103729200 cites W2003786459 @default.
• W3103729200 cites W2006259415 @default.
• W3103729200 cites W2006418321 @default.
• W3103729200 cites W2007702069 @default.
• W3103729200 cites W2019558609 @default.
• W3103729200 cites W2023113112 @default.
• W3103729200 cites W2025148421 @default.
• W3103729200 cites W2033966297 @default.
• W3103729200 cites W2043256764 @default.
• W3103729200 cites W2050785146 @default.
• W3103729200 cites W2053441708 @default.
• W3103729200 cites W2063575919 @default.
• W3103729200 cites W2078393607 @default.
• W3103729200 cites W2079112499 @default.
• W3103729200 cites W2079169552 @default.
• W3103729200 cites W2079781859 @default.
• W3103729200 cites W2104041846 @default.
• W3103729200 cites W2110960412 @default.
• W3103729200 cites W2111025636 @default.
• W3103729200 cites W2117865533 @default.
• W3103729200 cites W2137570591 @default.
• W3103729200 cites W2151994553 @default.
• W3103729200 cites W2278480317 @default.
• W3103729200 cites W3097996486 @default.
• W3103729200 cites W3099065504 @default.
• W3103729200 cites W3101007789 @default.
• W3103729200 cites W3101657606 @default.
• W3103729200 cites W3104756349 @default.
• W3103729200 doi "https://doi.org/10.1007/s00023-015-0455-4" @default.
• W3103729200 hasPublicationYear "2015" @default.
• W3103729200 type Work @default.
• W3103729200 sameAs 3103729200 @default.
• W3103729200 citedByCount "31" @default.
• W3103729200 countsByYear W31037292002016 @default.
• W3103729200 countsByYear W31037292002017 @default.
• W3103729200 countsByYear W31037292002018 @default.
• W3103729200 countsByYear W31037292002019 @default.
• W3103729200 countsByYear W31037292002021 @default.
• W3103729200 countsByYear W31037292002023 @default.
• W3103729200 crossrefType "journal-article" @default.
• W3103729200 hasAuthorship W3103729200A5037497960 @default.
• W3103729200 hasAuthorship W3103729200A5073086952 @default.
• W3103729200 hasAuthorship W3103729200A5082979661 @default.
• W3103729200 hasBestOaLocation W31037292002 @default.
• W3103729200 hasConcept C105239961 @default.
• W3103729200 hasConcept C108568745 @default.
• W3103729200 hasConcept C121332964 @default.
• W3103729200 hasConcept C202444582 @default.
• W3103729200 hasConcept C2524010 @default.
• W3103729200 hasConcept C33923547 @default.
• W3103729200 hasConcept C58801389 @default.
• W3103729200 hasConcept C62520636 @default.
• W3103729200 hasConcept C83677898 @default.
• W3103729200 hasConcept C84114770 @default.
• W3103729200 hasConceptScore W3103729200C105239961 @default.
• W3103729200 hasConceptScore W3103729200C108568745 @default.
• W3103729200 hasConceptScore W3103729200C121332964 @default.
• W3103729200 hasConceptScore W3103729200C202444582 @default.
• W3103729200 hasConceptScore W3103729200C2524010 @default.
• W3103729200 hasConceptScore W3103729200C33923547 @default.
• W3103729200 hasConceptScore W3103729200C58801389 @default.
• W3103729200 hasConceptScore W3103729200C62520636 @default.
• W3103729200 hasConceptScore W3103729200C83677898 @default.
• W3103729200 hasConceptScore W3103729200C84114770 @default.
• W3103729200 hasIssue "8" @default.
• W3103729200 hasLocation W31037292001 @default.
• W3103729200 hasLocation W31037292002 @default.
• W3103729200 hasOpenAccess W3103729200 @default.
• W3103729200 hasPrimaryLocation W31037292001 @default.
• W3103729200 hasRelatedWork W1636746330 @default.
• W3103729200 hasRelatedWork W1981719236 @default.
• W3103729200 hasRelatedWork W1993951096 @default.
• W3103729200 hasRelatedWork W2117630711 @default.
• W3103729200 hasRelatedWork W2125913475 @default.
• W3103729200 hasRelatedWork W3096095539 @default.
• W3103729200 hasRelatedWork W3099695570 @default.

• next