PL involutions of fibered $3$-manifolds
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- by Paik Kee Kim and Jeffrey L. Tollefson PDF
- Trans. Amer. Math. Soc. 232 (1977), 221-237 Request permission
Abstract:
Let h be a PL involution of $F \times [0,1]$ such that $h(F \times \{ 0,1\} ) = F \times \{ 0,1\}$, where F is a compact 2-manifold. It is shown that h is equivalent to an involution $hβ$ of the form $hβ(x,t) = (g(x),\lambda (t))$. This result is applied to classify the PL involutions of closed, orientable, Seifert manifolds when the fixed-point set contains a two-dimensional component of negative characteristic.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 232 (1977), 221-237
- MSC: Primary 57A10; Secondary 55C35
- DOI: https://doi.org/10.1090/S0002-9947-1977-0454981-2
- MathSciNet review: 0454981