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Tangent bundleBundlePullback bundleFibrationBundle mapVector bundleDifferential topologyCurvature formSectionFiber bundleSpin connectionDifferential structureLocal diffeomorphismCotangent bundleConnectionAssociated bundleConnectorFiberSpin structureExterior covariant derivativeTime dependent vector fieldPiecewise linear manifoldRibbonDistributionGeometric topologyLine bundleSymplectic manifoldHolomorphic vector bundleDisjoint unionCartan connectionDifferentiable manifoldDifferentiable curveGauge theoryCongruenceRelative homologyGrothendieck topologyAdjunction formulaFrame bundleSubmanifoldHermitian connectionFinsler manifoldSymplectic geometryCompact-open topologyDifferential geometryEuler classDifferential geometry of surfacesDifferential formAlgebraic topologyGeneral topologyExterior derivativeQuantum topologyBaseMorphismPseudo-riemannian manifoldTubular neighborhoodMorse homologySubbundleAnalytic manifoldTangent coneDirect sum of modulesConnected sumSymplectomorphismQuotient categoryDiffeomorphismEuclidean topologyPullbackLissajous knotInvariant manifoldDiagonal morphismEhresmann connectionAffine connectionParallel transportMetrizable spaceComparison of topologiesMorse theoryTopological fieldCauchy surfaceNatural transformationFoliationProduct topologyDerived categoryTangent spaceContinuum theoryCovariant derivativeIntegral curveCategory of topological spacesVector fieldPushforwardDirect product of groupsFormationTensor contractionDual curveRiemannian manifoldTopological manifoldPlumbingProjectionTensor product of modulesImageAlmost complex manifoldGeometric transformation