In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, orientable, closed 4-manifold M has a spin structure (or...
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has been studied in detail, starting with Rokhlin's theorem for 4-manifolds, and Hirzebruch signature theorem. Given a connected and oriented manifold...
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(mathematical logic) Rokhlin's theorem (geometric topology) Rolle's theorem (calculus) Rosser's theorem (number theory) Rouché's theorem (complex analysis)...
73 KB (6,015 words) - 12:17, 2 August 2024
Nikolai V. Ivanov, Anatoly Vershik and Oleg Viro. Rokhlin's contributions to topology include Rokhlin's theorem, a result of 1952 on the signature of 4-manifolds...
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In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...
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parity. Unimodular lattice Donaldson theory Yang–Mills equations Rokhlin's theorem Donaldson, S. K. (1983-01-01). "An application of gauge theory to...
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construct Rokhlin towers where each level is probabilistically independent of the partition. The Rokhlin lemma can be used to prove some theorems. For example...
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not admit a smooth structure. This essentially demonstrates that Rokhlin's theorem holds only for smooth structures, and not topological manifolds in...
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that a spin 4-manifold has signature a multiple of eight. In fact, Rokhlin's theorem implies that a smooth compact spin 4-manifold has signature a multiple...
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discovered by Michael Freedman in 1982. Rokhlin's theorem shows that it has no smooth structure (as does Donaldson's theorem), and in fact, combined with the...
2 KB (229 words) - 00:11, 17 May 2024