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Representing homology classes by embedded circles on a compact surface

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Publication:1251833
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zbMath0392.57016MaRDI QIDQ1251833

Julie Patrusky, William Hamilton III Meeks

Publication date: 1978

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Algorithm for Representing Primitive Elements of H1-Space(M)HandlebodiesHeegard SplittingHomology 3-SphereIntersection-Pairing


Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Singular homology and cohomology theory (55N10) Realizing cycles by submanifolds (57R95)


Related Items (7)

Atomic Embeddability, Clustered Planarity, and Thickenability ⋮ COLORING CURVES ON SURFACES ⋮ Diagrammatic state sums for 2D pin-minus TQFTs ⋮ Characteristic classes of fiberwise branched surface bundles via arithmetic groups ⋮ Cobordism of automorphisms of surfaces ⋮ Representing homology classes by embedded circles and the existence of circles invariant under isometries ⋮ Big mapping class groups acting on homology




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