Andrew Lobb
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Registered User
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Apr 17 |
answered | When does one obtain different 3-manifolds by pasting two tori? |
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Mar 31 |
accepted | Gluck twist on four-manifolds |
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Mar 31 |
revised |
Gluck twist on four-manifolds added 6 characters in body |
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Mar 31 |
awarded | ● Editor |
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Mar 31 |
revised |
Gluck twist on four-manifolds deleted 38 characters in body |
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Mar 31 |
answered | Gluck twist on four-manifolds |
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Mar 15 |
comment |
Probing a manifold with closed curves Thanks for all the upvotes, but I've realized that my argument is not correct. The space space $S$ is not necessarily a torus with some points identified but just some genus $g \geq 1$ surface with a finite number of points identified. It's fixable though. Orient $C_i$ and choose an oriented loop $P_i$ on $C_i$ with no self-intersections such that $P_1$ and $P_2$ intersect once. Then crushing the complement of a neighborhood of $P_1 \cup P_2$ gives an honest torus such that $C_1$ wraps once in one direction and $C_2$ wraps once in the other direction. |
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Mar 14 |
answered | Probing a manifold with closed curves |
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Dec 24 |
comment |
Independent evidence for the classification of topological 4-manifolds? It would be good if the Bonn semester produces such a clear exposition. One reason that such an exposition has not been written might be that Freedman's Theorem somehow killed the major question. This wasn't the case with Donaldson's work of the same time, which showed that there were interesting questions still to be asked in the smooth category. I think it's recognized that this lack of understanding of Freedman's work is regrettable: this is one of the motivational reasons behind having this semester. I think people should hold fire on this thread until after the Bonn semester is done. |
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Dec 17 |
answered | Where does the notion of pseudoholomorphic curve come from? |
