Constitution 发表于 2025-3-26 23:01:15
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Hans Göldner,Franz Holzweißigand .—we require that the intersection form ω be positive definite, the first Betti number . vanish, and the dimension of . be 3—and that there is real trouble if we relax any of these constraints. The differential topologists Ronald Fintushel and Ronald Stern noticed that for . = .(3), i.e., for orSTALL 发表于 2025-3-27 05:46:55
Hans Göldner,Franz HolzweißigA basic problem is to ascertain when a topological manifold admits a . structure and, if it does, whether there is also a compatible smooth structure. By the early 1950’s it was known that every topological manifold of dimension less than or equal to three admits a unique smooth structure. In 1968 K擦试不掉 发表于 2025-3-27 10:42:18
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Hans Göldner,Franz Holzweißigitute in Berkeley during its first few months of existence. Dan Freed (the junior author) was originally appointed as notetaker. The express purpose of the seminar was to go through a proof of Simon Donaldson‘s Theorem, which had been announced the previous spring. Donaldson proved the nonsmoothabilMyofibrils 发表于 2025-3-27 19:25:37
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Hans Göldner,Franz Holzweißigmportant ramifications for 3-manifold topology, we include an “easy” case of their theorem in this chapter. The difficulties in harder cases are not in the analysis, but arise mostly from the number theory of the intersection form, and we provide enough information so that the reader can fill in the急急忙忙 发表于 2025-3-28 07:16:07
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