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3
votes
0
answers
65
views
Connection on 3-bundle given as triplet of forms
A connection on a bundle is given locally by a Lie algebra-valued 1-form.
Gauge transformations act in the usual way on the forms, and form a groupoid.
A connection on a 2-bundle is given locally by …
8
votes
3
answers
2k
views
Is there a homology theory that gives a *necessary and sufficient* condition for homotopy eq...
Is there a (non-Abelian) homology theory that realizes the following:
Let $X,Y$ be manifolds with complexes $C(X),C(Y)$.
Then $X$ and $Y$ are homotopy-equivalent if and only if $C(X)$ and $C(Y)$ …