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|Title:||Generalized witten genus and vanishing theorems|
|Source:||Chen, Q.,Han, F.,Zhang, W. (2011-05). Generalized witten genus and vanishing theorems. Journal of Differential Geometry 88 (1) : 1-39. ScholarBank@NUS Repository.|
|Abstract:||We construct a generalized Witten genus for spinc manifolds, which takes values in level 1 modular forms with integral Fourier expansion on a class of spinc manifolds called stringc manifolds. We also construct a mod 2 analogue of the Witten genus for 8k+2 dimensional spin manifolds. The Landweber-Stong type vanishing theorems are proven for the generalizedWitten genus and the mod 2 Witten genus on stringc and string (generalized) complete intersections in (product of) complex projective spaces respectively.|
|Source Title:||Journal of Differential Geometry|
|Appears in Collections:||Staff Publications|
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