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Exponential sheaf sequenceChern classGroup cohomologyHomological algebraInjective sheafToposComplex geometryCohomologyGeometric topologyAlgebraic geometrySheaf cohomologyMapping class groupModuli spaceFundamental groupComplex lie groupLog structureTopological propertyEuler classSymplectic geometryGeometryModuli of algebraic curvesAlgebraic analysisEquivariant cohomologyNoncommutative geometryCategory theoryIsomorphism theoremsCartan decompositionClass field theoryHomotopy theoryGraph homologyRiemannian geometryAdjunction formulaGeometric group theoryGeometric algebraHermitian manifoldSimple homotopy theoryCombinatorial commutative algebraHomotopy groups of spheresSerre dualityHomotopy groupRelative homologyDistributionStein manifoldCalabi-yau manifoldAbelian varietyDiscrete geometryAlgebraic groupGeometric measure theoryBirational geometryModel categoryGrothendieck topologySpectrumDe rham cohomologyK-stabilityIsogenyCodimensionGalois cohomologyAlgebraic varietyHolomorphic vector bundleArithmetic groupSubmanifoldMathematical structureGauge theoryIntersection theoryAlgebraic combinatoricsAlgebraic number theoryHilbert schemeCalculus on euclidean spaceDifferential formInvertible sheafGermHodge structureEuclidean groupDifferential geometry of surfacesTopological groupMinkowski spaceCommutative algebraCoarea formulaHomologyComplex differential formCohomology ringLefschetz hyperplane theoremProjective geometryConfiguration spaceEuclidean topologyChow groupTangent coneAnalytic geometryDifferential graded algebraTopological manifoldProjectivizationArithmetic geometrySpectral tripleHomographySymplectic manifoldAlgebraic topologyMorse homologyDivisorCausal structureMorphism