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Title: Generalized witten genus and vanishing theorems
Authors: Chen, Q.
Han, F. 
Zhang, W.
Issue Date: May-2011
Citation: 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
ISSN: 0022040X
Appears in Collections:Staff Publications

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