6-dimensional manifolds with effective T4-actions |
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Authors: | Hae Soo Oh |
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Institution: | The University of Michigan, Ann Arbor, MI 48109, USA;Louisiana State University Baton Rouge, LA 70803, USA |
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Abstract: | Suppose the four dimensional torus T4 acts effectively on a 6-manifold M so that the orbit space M1 is a closed 2-disk, and there exist no exceptional orbits, and the isotropy groups span T4. Then the fundamental group of M is a finite abelian group with at most two generators. In this paper, we obtain a homology classification of manifolds of this type under an additional hypothesis that one of the two generators is trivial. We then use this result to obtain a complete classification of simply connected 6-manifolds supporting effective T4-actions. |
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Keywords: | Primary 57S15 57S25 |
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