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Results tagged with at.algebraic-topology
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user 65911
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
1
answer
335
views
Complexification of real k-theory gives index $2$ subgroup of complex k-theory
We have $\widetilde{KO}(S^4) \cong \mathbb{Z}$ and $\widetilde{K}(S^4) \cong \mathbb{Z}$. There is a map $i:\widetilde{KO}(S^4) \rightarrow \widetilde{K}(S^4)$ that takes a stable vector bundle to it …
- 193
17
votes
1
answer
962
views
Smooth 4-manifolds with $E_8$ intersection form
Does there exist a closed orientable smooth 4-manifold $M$ whose intersection form is the $E_8$-form? Here by the intersection form I mean the $\mathbb{Z}$-valued bilinear form on $H^2(M;\mathbb{Z})/ …
- 193