Matches in SemOpenAlex for { <https://semopenalex.org/work/W755185846> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W755185846 abstract "We study the abelianization of Kontsevich's Lie algebra associated with the Lie operad and some related problems. Calculating the abelianization is a long-standing unsolved problem, which is important in at least two different contexts: constructing cohomology classes in $H^k(mathrm{Out}(F_r);mathbb Q)$ and related groups as well as studying the higher order Johnson homomorphism of surfaces with boundary. The abelianization carries a grading by rank, with previous work of Morita and Conant-Kassabov-Vogtmann computing it up to rank $2$. This paper presents a partial computation of the rank $3$ part of the abelianization, finding lots of irreducible $mathrm{SP}$-representations with multiplicities given by spaces of modular forms. Existing conjectures in the literature on the twisted homology of $mathrm{SL}_3(mathbb Z)$ imply that this gives a full account of the rank $3$ part of the abelianization in even degrees." @default.
- W755185846 created "2016-06-24" @default.
- W755185846 creator A5073663749 @default.
- W755185846 date "2015-05-05" @default.
- W755185846 modified "2023-09-27" @default.
- W755185846 title "The Lie Lie algebra" @default.
- W755185846 cites W1482125263 @default.
- W755185846 cites W1736672931 @default.
- W755185846 cites W1903599310 @default.
- W755185846 cites W1993991633 @default.
- W755185846 cites W2080112528 @default.
- W755185846 cites W2103225140 @default.
- W755185846 cites W2109011290 @default.
- W755185846 cites W2131149354 @default.
- W755185846 cites W2167699131 @default.
- W755185846 cites W2477088441 @default.
- W755185846 cites W2963730587 @default.
- W755185846 cites W2963762431 @default.
- W755185846 cites W3103658351 @default.
- W755185846 cites W90349305 @default.
- W755185846 hasPublicationYear "2015" @default.
- W755185846 type Work @default.
- W755185846 sameAs 755185846 @default.
- W755185846 citedByCount "0" @default.
- W755185846 crossrefType "posted-content" @default.
- W755185846 hasAuthorship W755185846A5073663749 @default.
- W755185846 hasConcept C104317684 @default.
- W755185846 hasConcept C114614502 @default.
- W755185846 hasConcept C136119220 @default.
- W755185846 hasConcept C164226766 @default.
- W755185846 hasConcept C165525559 @default.
- W755185846 hasConcept C185592680 @default.
- W755185846 hasConcept C187915474 @default.
- W755185846 hasConcept C202444582 @default.
- W755185846 hasConcept C33923547 @default.
- W755185846 hasConcept C4042151 @default.
- W755185846 hasConcept C51568863 @default.
- W755185846 hasConcept C55493867 @default.
- W755185846 hasConcept C78606066 @default.
- W755185846 hasConceptScore W755185846C104317684 @default.
- W755185846 hasConceptScore W755185846C114614502 @default.
- W755185846 hasConceptScore W755185846C136119220 @default.
- W755185846 hasConceptScore W755185846C164226766 @default.
- W755185846 hasConceptScore W755185846C165525559 @default.
- W755185846 hasConceptScore W755185846C185592680 @default.
- W755185846 hasConceptScore W755185846C187915474 @default.
- W755185846 hasConceptScore W755185846C202444582 @default.
- W755185846 hasConceptScore W755185846C33923547 @default.
- W755185846 hasConceptScore W755185846C4042151 @default.
- W755185846 hasConceptScore W755185846C51568863 @default.
- W755185846 hasConceptScore W755185846C55493867 @default.
- W755185846 hasConceptScore W755185846C78606066 @default.
- W755185846 hasLocation W7551858461 @default.
- W755185846 hasOpenAccess W755185846 @default.
- W755185846 hasPrimaryLocation W7551858461 @default.
- W755185846 hasRelatedWork W1847312794 @default.
- W755185846 hasRelatedWork W2028903683 @default.
- W755185846 hasRelatedWork W2036599286 @default.
- W755185846 hasRelatedWork W2063553505 @default.
- W755185846 hasRelatedWork W2079084262 @default.
- W755185846 hasRelatedWork W2136277886 @default.
- W755185846 hasRelatedWork W2137425336 @default.
- W755185846 hasRelatedWork W2151003207 @default.
- W755185846 hasRelatedWork W2181526756 @default.
- W755185846 hasRelatedWork W2585798283 @default.
- W755185846 hasRelatedWork W2766364543 @default.
- W755185846 hasRelatedWork W2955715032 @default.
- W755185846 hasRelatedWork W2963704289 @default.
- W755185846 hasRelatedWork W2971334013 @default.
- W755185846 hasRelatedWork W3036283797 @default.
- W755185846 hasRelatedWork W3100990459 @default.
- W755185846 hasRelatedWork W3104440602 @default.
- W755185846 hasRelatedWork W3105715087 @default.
- W755185846 hasRelatedWork W3106032471 @default.
- W755185846 hasRelatedWork W3106291025 @default.
- W755185846 isParatext "false" @default.
- W755185846 isRetracted "false" @default.
- W755185846 magId "755185846" @default.
- W755185846 workType "article" @default.