Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100652098> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W3100652098 endingPage "77" @default.
- W3100652098 startingPage "31" @default.
- W3100652098 abstract "Given a quantized analytic cycle $(X, sigma)$ in $Y$, we give a categorical Lie-theoretic interpretation of a geometric condition, discovered by Shilin Yu, that involves the second formal neighbourhood of $X$ in $Y$. If this condition (that we call tameness) is satisfied, we prove that the derived Ext algebra $mathcal{RH}om_{mathcal{O}_Y}(mathcal{O}_X, mathcal{O}_X)$ is isomorphic to the universal enveloping algebra of the shifted normal bundle $mathrm{N}_{X/Y}[-1]$ endowed with a specific Lie structure, strengthening an earlier result of Cu{a}ldu{a}raru, Tu, and the first author This approach allows to get some conceptual proofs of many important results in the theory: in the case of the diagonal embedding, we recover former results of Kapranov, Markarian, and Ramadoss about (a) the Lie structure on the shifted tangent bundle $mathrm{T}_X[-1]$ (b) the corresponding universal enveloping algebra (c) the calculation of Kapranov's big Chern classes. We also give a new Lie-theoretic proof of Yu's result for the explicit calculation of the quantized cycle class in the tame case: it is the Duflo element of the Lie algebra object $mathrm{N}_{X/Y}[-1]$." @default.
- W3100652098 created "2020-11-23" @default.
- W3100652098 creator A5019993325 @default.
- W3100652098 creator A5053526764 @default.
- W3100652098 date "2019-01-20" @default.
- W3100652098 modified "2023-10-13" @default.
- W3100652098 title "The Ext algebra of a quantized cycle" @default.
- W3100652098 cites W1490467190 @default.
- W3100652098 cites W1496811201 @default.
- W3100652098 cites W150940812 @default.
- W3100652098 cites W1748528827 @default.
- W3100652098 cites W1973684955 @default.
- W3100652098 cites W2008218939 @default.
- W3100652098 cites W2038663046 @default.
- W3100652098 cites W2059909513 @default.
- W3100652098 cites W2071417479 @default.
- W3100652098 cites W2093216322 @default.
- W3100652098 cites W2112257400 @default.
- W3100652098 cites W2962718084 @default.
- W3100652098 cites W2963785269 @default.
- W3100652098 cites W3103280237 @default.
- W3100652098 cites W4213269915 @default.
- W3100652098 cites W4230488619 @default.
- W3100652098 doi "https://doi.org/10.5802/jep.87" @default.
- W3100652098 hasPublicationYear "2019" @default.
- W3100652098 type Work @default.
- W3100652098 sameAs 3100652098 @default.
- W3100652098 citedByCount "5" @default.
- W3100652098 countsByYear W31006520982019 @default.
- W3100652098 countsByYear W31006520982020 @default.
- W3100652098 countsByYear W31006520982023 @default.
- W3100652098 crossrefType "journal-article" @default.
- W3100652098 hasAuthorship W3100652098A5019993325 @default.
- W3100652098 hasAuthorship W3100652098A5053526764 @default.
- W3100652098 hasBestOaLocation W31006520981 @default.
- W3100652098 hasConcept C114614502 @default.
- W3100652098 hasConcept C121332964 @default.
- W3100652098 hasConcept C130367717 @default.
- W3100652098 hasConcept C136119220 @default.
- W3100652098 hasConcept C155058155 @default.
- W3100652098 hasConcept C157157409 @default.
- W3100652098 hasConcept C202444582 @default.
- W3100652098 hasConcept C2524010 @default.
- W3100652098 hasConcept C28903235 @default.
- W3100652098 hasConcept C33923547 @default.
- W3100652098 hasConcept C51568863 @default.
- W3100652098 hasConceptScore W3100652098C114614502 @default.
- W3100652098 hasConceptScore W3100652098C121332964 @default.
- W3100652098 hasConceptScore W3100652098C130367717 @default.
- W3100652098 hasConceptScore W3100652098C136119220 @default.
- W3100652098 hasConceptScore W3100652098C155058155 @default.
- W3100652098 hasConceptScore W3100652098C157157409 @default.
- W3100652098 hasConceptScore W3100652098C202444582 @default.
- W3100652098 hasConceptScore W3100652098C2524010 @default.
- W3100652098 hasConceptScore W3100652098C28903235 @default.
- W3100652098 hasConceptScore W3100652098C33923547 @default.
- W3100652098 hasConceptScore W3100652098C51568863 @default.
- W3100652098 hasLocation W31006520981 @default.
- W3100652098 hasLocation W31006520982 @default.
- W3100652098 hasLocation W31006520983 @default.
- W3100652098 hasLocation W31006520984 @default.
- W3100652098 hasLocation W31006520985 @default.
- W3100652098 hasLocation W31006520986 @default.
- W3100652098 hasLocation W31006520987 @default.
- W3100652098 hasOpenAccess W3100652098 @default.
- W3100652098 hasPrimaryLocation W31006520981 @default.
- W3100652098 hasRelatedWork W1654796353 @default.
- W3100652098 hasRelatedWork W2013718707 @default.
- W3100652098 hasRelatedWork W2049486543 @default.
- W3100652098 hasRelatedWork W2094547718 @default.
- W3100652098 hasRelatedWork W2250633630 @default.
- W3100652098 hasRelatedWork W2504929532 @default.
- W3100652098 hasRelatedWork W4210909503 @default.
- W3100652098 hasRelatedWork W4214671562 @default.
- W3100652098 hasRelatedWork W4237579997 @default.
- W3100652098 hasRelatedWork W4247290374 @default.
- W3100652098 hasVolume "6" @default.
- W3100652098 isParatext "false" @default.
- W3100652098 isRetracted "false" @default.
- W3100652098 magId "3100652098" @default.
- W3100652098 workType "article" @default.