Search results for "Complex algebraic surface"

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Homeomorphic graph manifolds: A contribution to the μ constant problem

1999

Abstract We give a characterization, in terms of homological data in covering spaces, of those maps between (3-dimensional) graph manifolds which are homotopic to homeomorphisms. As an application we give a condition on a cobordism between graph manifolds that guarantees that they are homeomorphic. This in turn is applied to give a partial result on the μ -constant problem in (complex) dimension three.

SingularityDimension (graph theory)CobordismBanach manifoldHomology equivalenceCovering spaceμ constant problemMathematics::Algebraic TopologyMathematics::Geometric TopologyDistance-regular graphManifoldCombinatoricsCoxeter graphSeifert fibered spaceMilnor fiberGraph manifoldEdge-transitive graphRicci-flat manifoldComplex algebraic surfaceGeometry and TopologyMathematics::Symplectic Geometry3-manifoldHomeomorphismMathematicsTopology and its Applications
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