Zero dimensional Donaldson–Thomas invariants of threefolds
نویسندگان
چکیده
منابع مشابه
Zero dimensional Donaldson–Thomas invariants of threefolds
Ever since the pioneer work of Donaldson and Thomas on Yang–Mills theory over Calabi–Yau threefolds [5, 13], people have been searching for their roles in the study of Calabi–Yau geometry and their relations with other branches of mathematics. The recent results and conjectures of Maulik, Nekrasov, Okounkov and Pandharipande [10, 11] that relate the invariants of the moduli of ideal sheaves of ...
متن کاملDonaldson-Thomas invariants of Calabi-Yau threefolds
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds are compared. In certain situations, the Donaldson-Thomas invariants are very easy to handle, sometimes easier than the other invariants. This point is illustrated in several ways, especially by revisiting computations of Gopakumar-Vafa invariants by Katz, Klemm, and Vafa in a rigorous mathematical framework...
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This is an expository article on “A mathematical theory of the topological vertex” by J. Li, K. Liu, J. Zhou, and the author.
متن کاملIntegrality of Gopakumar–vafa Invariants of Toric Calabi–yau Threefolds
The Gopakumar–Vafa invariant is a number defined as certain linear combination of the Gromov–Witten invariants. We prove that the GV invariants of the toric Calabi–Yau threefold are integers and that the invariants at high genera vanish. The proof of the integrality is the elementary number theory and that of the vanishing uses the operator formalism and the exponential formula.
متن کاملZero-dimensional proximities and zero-dimensional compactifications
Article history: Received 4 August 2008 Received in revised form 12 December 2008 Accepted 13 December 2008 MSC: 54E05 54D35 54G05
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2006
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2006.10.2117