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Results tagged with at.algebraic-topology
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user 115273
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
0
answers
85
views
Principal bundles over marked Riemann surface $\mathcal{M}_{g,h,r,s}$
Let $\mathcal{M}_{g,h,r,s}$ be a Riemann surface with genus $g$, $h$ boundary components, r interior marked points, and $s$ marked points on the boundary $\partial \mathcal{M} = \Sigma$. In the case w …
- 171
14
votes
1
answer
561
views
Mednykh's formula for 2d manifold with boundaries? How to count principal G-bundles with pre...
Let S be a closed, orientable 2d manifold and G a finite group. Since a principal G-bundle over S is specified by maps $\phi : \pi_1(S) \rightarrow G$ modulo the adjoint action by G, the way to count …
- 171