Last Updated
：2025/12/07
Donaldson-Thomas invariant
Noun
Japanese Meaning
（代数幾何学において）カルabi–Yau三次元多様体上のコンパクトなシーブのモジュライ空間に対して定義される不変量。これは、仮想基本類に対して1のコホモロジー類を積分することで得られる、モジュライ空間の「仮想的な点数」を表す。
（ plural ）
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(algebraic geometry) Given a compact moduli space of sheaves on a Calabi-Yau threefold, its Donaldson-Thomas invariant is the virtual number of its points, i.e., the integral of the cohomology class 1 against the virtual fundamental class.
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Donaldson-Thomas invariant
In computations on Calabi–Yau threefolds, the Donaldson-Thomas invariant serves as the virtual count of stable sheaves and often determines integer curve counts.
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In computations on Calabi–Yau threefolds, the Donaldson-Thomas invariant serves as the virtual count of stable sheaves and often determines integer curve counts.
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