Brauer–Severi motives and Donaldson–Thomas invariants of quantized threefolds
نویسندگان
چکیده
منابع مشابه
Donaldson-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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Let X → S be a smooth projective family of surfaces over a smooth curve S whose generic fiber Xη is a surface with H 2 et(Xη̄, Ql(1)) spanned by divisors on Xη and H 1 et(Xη̄, Ql) = 0. We prove that, if the motive of X/S is finite dimensional, the Chow group CH2(X)Q is generated by a multisection and vertical cycles, i.e. one-dimensional cycles lying in fibers of the above map. If S = P, then CH2...
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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 ...
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2018
ISSN: 1661-6952
DOI: 10.4171/jncg/288