2
votes
0answers
52 views

Classification of Bieberbach groups

Does anybody know if there exists a list of the four dimensional Bieberbach groups presented by generators and relations on the web?. I know there exists the book Crystallographic Groups of ...
0
votes
0answers
19 views

vertex linking sphere

S.Choi in his article " Geometric structures on low dimensional manifolds " uses " Haken diagram " of triangulated 3-manifolds.He starts with a tetrahedron in the triangulation and form the linking ...
2
votes
1answer
55 views

Characteristic cohomology class of 4-manifold with boundary

I have a question about Characteristic cohomology class of 4-manifolds. $X^4$ denotes the compact 4-manifold with boundary. I'm mainly concerned with $\partial X$ is nonempty. If $X^4$ is closed, we ...
2
votes
1answer
67 views

Kirby-like diagrams for $M^n$ when $n > 4$

Are there any attempts on constructing Kirby-like diagrams for representing manifolds $M^n$ with $n > 4$. What are the references on that ? I think you run out of dimension in which you can draw ...