Tagged Questions
0
votes
0answers
30 views
Finding a closed curve $\gamma$ on a Torus such that $\gamma$ is not pseudo-Anosov
Let g denote genus and n denote number of punctures. According to Kra's construction in Pseudo-Anosov theory for surfaces, if S is an orientable surface such that $3g+n>3$ and $\gamma \in ...
3
votes
0answers
56 views
Curvature on topological spaces
On what subsets of the category of topological spaces are different notions of curvature defined?
2
votes
0answers
44 views
About Thom theorem (representation submanifold for $H_{n-2}(M)$)
Recall Thom theorem : If $M^n$ is a smooth orientable closed manifold then any homology class in $H_{n-2}(M)$ is represented by the fundamental class of a smooth submanifold.
And in the Harper and ...
1
vote
1answer
70 views
Given lattice G; parameters of torus R^2/G?
This should be a simple, known result, but I can't seem to find it.
Given a lattice $\Gamma = m\mathbb{Z} \times n\mathbb{Z}$, $\mathbb{R}^2/\Gamma$ is topologically a torus. For suitable $m$ and ...
