Generalized surgery of three-dimensional manifolds and representations of homology spheres

DOI10.1007/BF01240455zbMath0649.57010MaRDI QIDQ1105871

Sergey V. Matveev

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

homology groupshomology sphereDehn surgerieslinking formsgeneralized surgerygenus 2 Heegaard splitting of the Whitehead manifold

Mathematics Subject Classification ID

Related Items (11)

FINITE TYPE LINK HOMOTOPY INVARIANTS II: Milnor's $\bar\mu$-Invariants ⋮ An application of TQFT to modular representation theory ⋮ A FORMULA FOR THE DELTA-UNKNOTTING NUMBERS OF KNOTS ⋮ Sergei Vladimirovich Matveev ⋮ The existence of homologically fibered links and solutions of some equations ⋮ Delta move and polynomial invariants of links ⋮ Homotopy, \(\Delta \)-equivalence and concordance for knots in the complement of a trivial link ⋮ THE MYSTERY OF THE BRANE RELATION ⋮ Goussarov--Habiro theory for string links and the Milnor-Johnson correspondence ⋮ ON THE Δ-UNKNOTTING NUMBER OF WHITEHEAD DOUBLES OF KNOTS ⋮ FORMULAS FOR THE CASSON INVARIANT OF CERTAIN INTEGRAL HOMOLOGY 3-SPHERES

Cites Work

• A representation of orientable combinatorial 3-manifolds
• Representations of homology 3-spheres
• A calculus for framed links in \(S^3\)
• Two Theorems on the Mapping Class Group of a Surface
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