Superinjective simplicial maps of the complexes of curves on nonorientable surfaces
We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if (g, n) \in {(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)} or g + n \geq 5, where g is the genus of the surface and n is the number of the boundary components.
Anahtar Kelimeler:
Mapping class groups, simplicial maps, nonorientable surfaces
Superinjective simplicial maps of the complexes of curves on nonorientable surfaces
We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if (g, n) \in {(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)} or g + n \geq 5, where g is the genus of the surface and n is the number of the boundary components.
Keywords:
Mapping class groups, simplicial maps, nonorientable surfaces,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
$L^p$ regularity of some weighted Bergman projections on the unit disc
Hypercyclic tuples of the adjoint of the weighted composition operators
Rahmat SOLTANI, Bahram Khani ROBATI
Invariants of symmetric algebras associated to graphs
Maurizio IMBESI, Monica LA BARBIERA
Hilbert functions and Betti numbers of reverse lexicographic ideals in the exterior algebra
On injective and subdirectly irreducible S-acts over left zero semigroups
Simultaneous proximinality of vector valued function spaces
Mona KHANDAQJI, Fadi AWAWDEH, Jamila JAWDAT
Value distribution of meromorphic functions and their differences
Contact CR-warped product submanifolds in generalized Sasakian space forms