Minimal surfaces in manifolds with actions and the simple loop conjecture for Seifert fibered spaces

Author:
Joel Hass

Journal:
Proc. Amer. Math. Soc. **99** (1987), 383-388

MSC:
Primary 57N10; Secondary 53A10

DOI:
https://doi.org/10.1090/S0002-9939-1987-0870806-7

MathSciNet review:
870806

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Abstract: The Simple Loop Conjecture for -manifolds states that if a -sided map from a surface to a -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 -manifold is Seifert fibered. The techniques are geometric and involve studying least area surfaces and circle actions on Seifert Fibered Spaces.

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0870806-7

Article copyright:
© Copyright 1987
American Mathematical Society