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单词 DonaldsonsTheorem
释义

Donaldson’s theorem


Theorem Let M be a smooth simply connected, closed 4- manifoldMathworldPlanetmath. If the bilinear formMathworldPlanetmathPlanetmath induced on H2(M;𝒁) by the cup productMathworldPlanetmath is positive definitePlanetmathPlanetmath, then it may be represented by the identity matrixMathworldPlanetmath.

One application is the existence of exotic 𝑹4’s. See Donaldson Freedman exotic R4.

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更新时间:2025/5/4 16:37:00