Donaldson-Thomas invariant

noun

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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Meanings

nounDonaldson-Thomas invariant (plural Donaldson-Thomas invariants)

plural Donaldson-Thomas invariants

  1. algebraic geometryGiven 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.

Origin

Introduced in 1998 by Simon Donaldson and Richard Thomas.

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Cite this entry
APA

Donaldson-Thomas invariant. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Donaldson-Thomas%20invariant

MLA

“Donaldson-Thomas invariant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Donaldson-Thomas%20invariant. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Donaldson-Thomas invariant,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Donaldson-Thomas%20invariant.

Source: Donaldson-Thomas invariant on Wiktionary, CC BY-SA 4.0.