Small covers over products of a polygon with a simplex
The equivariant homeomorphism class of an (orientable) small cover over a simple convex polytope Pn bijectively corresponds to the equivalence class of its (orientable) coloring under the action of automorphism group of face poset of Pn. By calculating the number of orbits of group actions we determine the number of equivariant homeomorphism classes of small covers over products of a polygon with a simplex. Moreover, we calculate the number of equivariant homeomorphism classes of all orientable small covers over the product.
Anahtar Kelimeler:
Small cover, equivariant homeomorphism, polytope, coloring
Small covers over products of a polygon with a simplex
The equivariant homeomorphism class of an (orientable) small cover over a simple convex polytope Pn bijectively corresponds to the equivalence class of its (orientable) coloring under the action of automorphism group of face poset of Pn. By calculating the number of orbits of group actions we determine the number of equivariant homeomorphism classes of small covers over products of a polygon with a simplex. Moreover, we calculate the number of equivariant homeomorphism classes of all orientable small covers over the product.
Keywords:
Small cover, equivariant homeomorphism, polytope, coloring,
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- Yanying WANG and Yanchang CHEN College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang , P. R. CHINA e-mail: wyanying2003@yahoo.com.cn, cyc810707@163.com
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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