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Results tagged with at.algebraic-topology
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user 40893
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
1
answer
549
views
How to calculate the first and second homotopy groups of the following space constructed fro...
In solving a physics problem, I came across a weird topological space constructed from $U(4)$, the group of $4\times4$ unitary matrices. I want to know the first two homotopy groups of it. Here is how …
- 241
4
votes
1
answer
543
views
How to classify continuous/differentiable maps from $T^2$ to $U(N)$?
I read a physics paper, of which the main idea is based on the topological classification of maps from 3-torus to the space of $N\times N$ unitary matrices. To quote their equation (4), which gives a …
- 241