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Media type:
E-Article
Title:
Minimal Surfaces in Manifolds with S1Actions and the Simple Loop Conjecture for Seifert Fibered Spaces
Contributor:
Hass, Joel
Published:
American Mathematical Society, 1987
Published in:
Proceedings of the American Mathematical Society, 99 (1987) 2, Seite 383-388
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
The Simple Loop Conjecture for 3-manifolds states that if a 2-sided map from a surface to a 3-manifold fails to inject on the fundamental group, then there is an essential simple loop in the kernel. This conjecture is solved in the case where the 3-manifold is Seifert fibered. The techniques are geometric and involve studying least area surfaces and circle actions on Seifert Fibered Spaces.