Operations on 3-dimensional small covers
The purpose of this paper is to study relations among equivariant operations on 3-dimensional small covers. The author gets three formulas for these operations. As an application, the Nishimura's theorem on the construction of oriented 3-dimensional small covers and the Lu-Yu's theorem on the construction of all 3-dimensional small covers are improved. Moreover, for a construction of 3-dimensional 2-torus manifolds, it is shown that all operations can be obtained by using the equivariant surgeries.
- Issue Date
- 2010
- Language
- English
- Article Type
- Article
- Keywords
POLYTOPES; MANIFOLDS; TORUS
- Citation
CHINESE ANNALS OF MATHEMATICS SERIES B, v.31, no.3, pp.393 - 410
- ISSN
- 0252-9599
- Appears in Collection
- RIMS Journal Papers
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