All Questions
Tagged with embeddings homology
3 questions
13
votes
3
answers
2k
views
When does homology represent an embedded sphere?
If we have a triangulation of a manifold $M$ of dimension $i$ and we have simplicial homology $H_i(M)=\mathbb{Z}$, what is the condition than there exists an embedded sphere $S^i$ that generates the ...
1
vote
1
answer
116
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On graph imbedding genus clarification
Given a graph the minimum genus $g$ is the minimum number of handles needed so that there an imbedding of the graph on the surface with no edge crossings.
If the graph is of genus $g$ then is there ...
4
votes
0
answers
69
views
Obstructions to symplectically embedding compact manifolds of dimension $4$ or higher
It is known in Li's paper (http://arxiv.org/pdf/0812.4929v1.pdf) that in compact symplectic manifolds $(X^{2n},\omega)$ of dimension at least $2n\geq 4$, an immersed symplectic surface represents a $2$...