Matches in SemOpenAlex for { <https://semopenalex.org/work/W1812157428> ?p ?o ?g. }
- W1812157428 endingPage "223" @default.
- W1812157428 startingPage "179" @default.
- W1812157428 abstract "We survey the cohomology jumping loci and the Alexander-type invariants associated to a space, or to its fundamental group. Though most of the material is expository, we provide new examples and applications, which in turn raise several questions and conjectures. The jump loci of a space X come in two basic flavors: the characteristic varieties, or, the support loci for homology with coefficients in rank 1 local systems, and the resonance varieties, or, the support loci for the homology of the cochain complexes arising from multiplication by degree 1 classes in the cohomology ring of X. The geometry of these varieties is intimately related to the formality, (quasi-) projectivity, and homological finiteness properties of pi_1(X). We illustrate this approach with various applications to the study of hyperplane arrangements, Milnor fibrations, 3-manifolds, and right-angled Artin groups." @default.
- W1812157428 created "2016-06-24" @default.
- W1812157428 creator A5007912010 @default.
- W1812157428 date "2011-01-01" @default.
- W1812157428 modified "2023-10-13" @default.
- W1812157428 title "Fundamental groups, Alexander invariants, and cohomology jumping loci" @default.
- W1812157428 cites W1541268885 @default.
- W1812157428 cites W1549584576 @default.
- W1812157428 cites W1557361751 @default.
- W1812157428 cites W1573050889 @default.
- W1812157428 cites W1610400934 @default.
- W1812157428 cites W1651760300 @default.
- W1812157428 cites W1673202421 @default.
- W1812157428 cites W1673238250 @default.
- W1812157428 cites W1674658457 @default.
- W1812157428 cites W1770603106 @default.
- W1812157428 cites W1874585047 @default.
- W1812157428 cites W1970112531 @default.
- W1812157428 cites W1971513725 @default.
- W1812157428 cites W1985502046 @default.
- W1812157428 cites W1989022545 @default.
- W1812157428 cites W2025428689 @default.
- W1812157428 cites W2025687961 @default.
- W1812157428 cites W2026004291 @default.
- W1812157428 cites W2027161300 @default.
- W1812157428 cites W2027549187 @default.
- W1812157428 cites W2037777260 @default.
- W1812157428 cites W2042621799 @default.
- W1812157428 cites W2046860327 @default.
- W1812157428 cites W2047298806 @default.
- W1812157428 cites W2048241642 @default.
- W1812157428 cites W2048776214 @default.
- W1812157428 cites W2053856961 @default.
- W1812157428 cites W2060663265 @default.
- W1812157428 cites W2067463721 @default.
- W1812157428 cites W2067661344 @default.
- W1812157428 cites W2076497203 @default.
- W1812157428 cites W2091093676 @default.
- W1812157428 cites W2091866864 @default.
- W1812157428 cites W2095813878 @default.
- W1812157428 cites W2108510568 @default.
- W1812157428 cites W2117062084 @default.
- W1812157428 cites W2118776417 @default.
- W1812157428 cites W2119536360 @default.
- W1812157428 cites W2153895389 @default.
- W1812157428 cites W2164815243 @default.
- W1812157428 cites W2165147313 @default.
- W1812157428 cites W2316265374 @default.
- W1812157428 cites W2346384042 @default.
- W1812157428 cites W2953242124 @default.
- W1812157428 cites W2961105547 @default.
- W1812157428 cites W2964175301 @default.
- W1812157428 cites W3102757094 @default.
- W1812157428 cites W3102994489 @default.
- W1812157428 cites W3103945778 @default.
- W1812157428 cites W3106423846 @default.
- W1812157428 cites W377884864 @default.
- W1812157428 cites W122881644 @default.
- W1812157428 doi "https://doi.org/10.1090/conm/538/10600" @default.
- W1812157428 hasPublicationYear "2011" @default.
- W1812157428 type Work @default.
- W1812157428 sameAs 1812157428 @default.
- W1812157428 citedByCount "12" @default.
- W1812157428 countsByYear W18121574282012 @default.
- W1812157428 countsByYear W18121574282014 @default.
- W1812157428 countsByYear W18121574282016 @default.
- W1812157428 countsByYear W18121574282018 @default.
- W1812157428 countsByYear W18121574282019 @default.
- W1812157428 countsByYear W18121574282020 @default.
- W1812157428 countsByYear W18121574282023 @default.
- W1812157428 crossrefType "other" @default.
- W1812157428 hasAuthorship W1812157428A5007912010 @default.
- W1812157428 hasBestOaLocation W18121574282 @default.
- W1812157428 hasConcept C104317684 @default.
- W1812157428 hasConcept C114614502 @default.
- W1812157428 hasConcept C136119220 @default.
- W1812157428 hasConcept C138885662 @default.
- W1812157428 hasConcept C164226766 @default.
- W1812157428 hasConcept C165525559 @default.
- W1812157428 hasConcept C185592680 @default.
- W1812157428 hasConcept C202444582 @default.
- W1812157428 hasConcept C2777159308 @default.
- W1812157428 hasConcept C2779185822 @default.
- W1812157428 hasConcept C33923547 @default.
- W1812157428 hasConcept C41895202 @default.
- W1812157428 hasConcept C55493867 @default.
- W1812157428 hasConcept C72738302 @default.
- W1812157428 hasConcept C78606066 @default.
- W1812157428 hasConceptScore W1812157428C104317684 @default.
- W1812157428 hasConceptScore W1812157428C114614502 @default.
- W1812157428 hasConceptScore W1812157428C136119220 @default.
- W1812157428 hasConceptScore W1812157428C138885662 @default.
- W1812157428 hasConceptScore W1812157428C164226766 @default.
- W1812157428 hasConceptScore W1812157428C165525559 @default.
- W1812157428 hasConceptScore W1812157428C185592680 @default.
- W1812157428 hasConceptScore W1812157428C202444582 @default.
- W1812157428 hasConceptScore W1812157428C2777159308 @default.
- W1812157428 hasConceptScore W1812157428C2779185822 @default.