Let S be either a sphere with 5 punctures or a torus with 3 punctures. We prove that the automorphism group of the complex of curves of S is isomorphic to the extended mapping class group M \* S . As applications we prove that surfaces of genus 1 are determined by their complexes of curves, and any
β¦ LIBER β¦
Complexes of non-positive curvature and automorphisms of the 4-punctured sphere
β Scribed by Thomas Brady
- Book ID
- 105140187
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 247 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Automorphisms of complexes of curves on
β
Mustafa Korkmaz
π
Article
π
1999
π
Elsevier Science
π
English
β 305 KB
Metrics of positive scalar curvature on
β
Boguslaw Hajduk
π
Article
π
1988
π
Springer
π
English
β 431 KB
Scalar curvature, non-abelian group acti
β
H. Blaine Lawson; Shing Tung Yau
π
Article
π
1974
π
European Mathematical Society
π
English
β 752 KB
Hypersurfaces with constant inner curvat
β
Markus Becker; Wolfgang KΓΌhnel
π
Article
π
1996
π
Springer-Verlag
π
French
β 604 KB
Hypersurfaces with constant inner curvat
β
Markus Becker; Wolfgang KΓΌhnel
π
Article
π
1996
π
Springer-Verlag
π
French
β 604 KB
Construction of spheres with handles and
β
Philippe DelanoΓ«
π
Article
π
2003
π
Elsevier Science
π
English
β 84 KB
Recent results in fully nonlinear pde's single out smooth bounded domains in the euclidean 3-space whose boundary has non-vanishing mean curvature. The literature provides no example of such domains when the genus of the boundary is strictly larger than 1. This note fills the gap with an elementary