期刊
COMPOSITIO MATHEMATICA
卷 142, 期 5, 页码 1263-1285出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X06002302
关键词
Gromov-Witten; Donaldson maps; sheaves
类别
We conjecture an equivalence between the Gromov-Witten theory of 3-folds and the holomorphic Chern-Simons theory of Donaldson and Thomas. For Calabi-Yau 3-folds. the equivalence is defined by the change of variables e(iu) = -q, where u is the genus parameter of Gromov-Witten theory and q is the Euler characteristic parameter of Donaldson-Thomas theory. The conjecture is proven for local Calabi-Yau toric surfaces.
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