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Results tagged with at.algebraic-topology
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user 3696
Homotopy theory, homological algebra, algebraic treatments of manifolds.
9
votes
Cohomology of Lie groups and Lie algebras
In question 1, it seems that the subspace $H^*(g(Q))$ in $H^*(g(C))$ indeed depends on the rational form of g. Consider the example of $sl(3)$ and two rational forms, $su(3,Q)$ and $sl(3,Q)$, and look …
- 3,929
5
votes
Accepted
Interaction of topology and the Picard group of Algebraic surfaces
Even if there is no lines or rational curves, there can still be spheres representing classes in $H^2$. There is no contradiction here since these spheres are maps from $S^2$ to the surface which are …
- 3,929
13
votes
Accepted
Free action of SL_2(F_p) on a sphere
Apparently, a linear free action exists only for $p=5$ (if $p\ge 5$), see paper by C. Thomas "Almost linear actions by $SL_2(p)$ on $S^{2n-1}$". There is a weaker notion of an "almost linear" action, …
- 3,929