FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1557848066> ?p ?o ?g. }

• W1557848066 abstract "We construct and study a new family of TQFTs based on nilpotent highest weight representations of quantum sl(2) at a root of unity indexed by generic complex numbers. This extends to cobordisms the non-semi-simple invariants defined in (arXiv:1202.3553) including the Kashaev invariant of links. Here the modular category framework does not apply and we use the ``universal construction''. Our TQFT provides a monoidal functor from a category of surfaces and their cobordisms into the category of graded finite dimensional vector spaces and their degree 0-morphisms and depends on the choice of a root of unity of order 2r. The functor is always symmetric monoidal but for even values of r the braiding on GrVect has to be the super-symmetric one, thus our TQFT may be considered as a super-TQFT. In the special case r=2 our construction yields a TQFT for a canonical normalization of Reidemeister torsion and we re-prove the classification of Lens spaces via the non-semi-simple quantum invariants defined in (arXiv:1202.3553). We prove that the representations of mapping class groups and Torelli groups resulting from our constructions are potentially more sensitive than those obtained from the standard Reshetikhin-Turaev functors; in particular we prove that the action of the bounding pairs generators of the Torelli group has always infinite order." @default.
• W1557848066 created "2016-06-24" @default.
• W1557848066 creator A5029230952 @default.
• W1557848066 creator A5037750000 @default.
• W1557848066 creator A5049343032 @default.
• W1557848066 creator A5057397668 @default.
• W1557848066 date "2014-04-29" @default.
• W1557848066 modified "2023-09-25" @default.
• W1557848066 title "Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants" @default.
• W1557848066 cites W1521147094 @default.
• W1557848066 cites W1535757873 @default.
• W1557848066 cites W1558249050 @default.
• W1557848066 cites W1592333403 @default.
• W1557848066 cites W1604589878 @default.
• W1557848066 cites W1945750607 @default.
• W1557848066 cites W1963896907 @default.
• W1557848066 cites W1968435887 @default.
• W1557848066 cites W1979854521 @default.
• W1557848066 cites W1980564597 @default.
• W1557848066 cites W1986786890 @default.
• W1557848066 cites W2009145422 @default.
• W1557848066 cites W2023409861 @default.
• W1557848066 cites W2025853148 @default.
• W1557848066 cites W2034203422 @default.
• W1557848066 cites W2035862323 @default.
• W1557848066 cites W2038347230 @default.
• W1557848066 cites W2040372902 @default.
• W1557848066 cites W2054257142 @default.
• W1557848066 cites W2058089866 @default.
• W1557848066 cites W2080743555 @default.
• W1557848066 cites W2086017299 @default.
• W1557848066 cites W2086201100 @default.
• W1557848066 cites W2088353214 @default.
• W1557848066 cites W2135186723 @default.
• W1557848066 cites W2141597793 @default.
• W1557848066 cites W2162715369 @default.
• W1557848066 cites W2171632106 @default.
• W1557848066 cites W2327593609 @default.
• W1557848066 cites W2493349125 @default.
• W1557848066 cites W2614771893 @default.
• W1557848066 cites W2615563936 @default.
• W1557848066 cites W2950198532 @default.
• W1557848066 cites W2963559134 @default.
• W1557848066 cites W2963945788 @default.
• W1557848066 cites W2964096122 @default.
• W1557848066 cites W3040586665 @default.
• W1557848066 cites W3100623736 @default.
• W1557848066 cites W2964018275 @default.
• W1557848066 hasPublicationYear "2014" @default.
• W1557848066 type Work @default.
• W1557848066 sameAs 1557848066 @default.
• W1557848066 citedByCount "6" @default.
• W1557848066 countsByYear W15578480662014 @default.
• W1557848066 countsByYear W15578480662015 @default.
• W1557848066 countsByYear W15578480662020 @default.
• W1557848066 countsByYear W15578480662021 @default.
• W1557848066 crossrefType "posted-content" @default.
• W1557848066 hasAuthorship W1557848066A5029230952 @default.
• W1557848066 hasAuthorship W1557848066A5037750000 @default.
• W1557848066 hasAuthorship W1557848066A5049343032 @default.
• W1557848066 hasAuthorship W1557848066A5057397668 @default.
• W1557848066 hasConcept C121332964 @default.
• W1557848066 hasConcept C137212723 @default.
• W1557848066 hasConcept C141071460 @default.
• W1557848066 hasConcept C156772000 @default.
• W1557848066 hasConcept C202444582 @default.
• W1557848066 hasConcept C206343339 @default.
• W1557848066 hasConcept C33923547 @default.
• W1557848066 hasConcept C62520636 @default.
• W1557848066 hasConcept C71924100 @default.
• W1557848066 hasConcept C7503960 @default.
• W1557848066 hasConcept C77461463 @default.
• W1557848066 hasConcept C84114770 @default.
• W1557848066 hasConceptScore W1557848066C121332964 @default.
• W1557848066 hasConceptScore W1557848066C137212723 @default.
• W1557848066 hasConceptScore W1557848066C141071460 @default.
• W1557848066 hasConceptScore W1557848066C156772000 @default.
• W1557848066 hasConceptScore W1557848066C202444582 @default.
• W1557848066 hasConceptScore W1557848066C206343339 @default.
• W1557848066 hasConceptScore W1557848066C33923547 @default.
• W1557848066 hasConceptScore W1557848066C62520636 @default.
• W1557848066 hasConceptScore W1557848066C71924100 @default.
• W1557848066 hasConceptScore W1557848066C7503960 @default.
• W1557848066 hasConceptScore W1557848066C77461463 @default.
• W1557848066 hasConceptScore W1557848066C84114770 @default.
• W1557848066 hasOpenAccess W1557848066 @default.
• W1557848066 hasRelatedWork W1521147094 @default.
• W1557848066 hasRelatedWork W1829752062 @default.
• W1557848066 hasRelatedWork W2028721200 @default.
• W1557848066 hasRelatedWork W2029742300 @default.
• W1557848066 hasRelatedWork W2029816842 @default.
• W1557848066 hasRelatedWork W2072826854 @default.
• W1557848066 hasRelatedWork W2133229723 @default.
• W1557848066 hasRelatedWork W2401105320 @default.
• W1557848066 hasRelatedWork W2414336696 @default.
• W1557848066 hasRelatedWork W2789056946 @default.
• W1557848066 hasRelatedWork W2890850758 @default.
• W1557848066 hasRelatedWork W2893561002 @default.
• W1557848066 hasRelatedWork W2941514417 @default.
• W1557848066 hasRelatedWork W2962962227 @default.

• next