The simple loop conjecture

DOI10.4310/jdg/1214439470zbMath0556.57007OpenAlexW1571267456WikidataQ115187304 ScholiaQ115187304MaRDI QIDQ760946

David Gabai

Publication date: 1985

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214439470

zbMATH Keywords

branched covermap of closed connected surfacessimple loops in the kernel of maps of fundamental groups

Mathematics Subject Classification ID

Related Items (16)

Boundaries of \(\pi_ 1\)-injective surfaces ⋮ The classification of maps of nonorientable surfaces ⋮ Non-realizability and ending laminations: proof of the density conjecture ⋮ Indecomposable PD\(_{3}\)-complexes ⋮ Incompressible maps of surfaces and Dehn filling. ⋮ Products of commutators and squares in free groups ⋮ Unnamed Item ⋮ Virtual fibers in hyperbolic 3-manifolds ⋮ A Counterexample to the Equivariant Simple Loop Conjecture ⋮ The classification of maps of surfaces ⋮ The classification of maps of surfaces ⋮ Realising end invariants by limits of minimally parabolic, geometrically finite groups ⋮ Non-faithful representations of surface groups into \(\mathrm{SL}(2,\mathbb C)\) which kill no simple closed curve ⋮ Around 3-manifold groups ⋮ Bounds on exceptional Dehn filling ⋮ Euclidean symmetry of closed surfaces immersed in 3-space

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