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Results tagged with dg.differential-geometry
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user 76483
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
0
answers
134
views
when is "fibering" preserved under homotopy equivalence
Suppose I have an oriented $F$ bundle over $B$ with total space $E$ (all of the three are closed manifolds) and i have a closed manifold $E'$ which is homotopy equivalent to $E$.Is there any condition …
- 259
7
votes
fake $S^{2k}\times S^{2k}$
You may want to have a look of the following paper by Kreck and Lueck:
Topological Rigidity for Non-aspherical Manifolds
where they showed that a necessary condition for $S^d\times S^d$ ($d>2$) …
- 259
18
votes
2
answers
1k
views
formula for Eta invariant
Hirzebruch's signature formula is not valid for manifolds with boundary.
An error term is introduced by Atiyah-Patodi-Singer to fix it.More precisely:
$$sign (M)=L(M)[M]+\eta(\partial M)$$
Yet bett …
- 259