209 research outputs found
Witten Genus and String Complete Intersections
In this note, we prove that the Witten genus of nonsingular string complete
intersections in product of complex projective spaces vanishes. Our result
generalizes a known result of Landweber and Stong (cf. [HBJ]).Comment: Some materials and references are adde
Generalized Witten Genus and Vanishing Theorems
We construct a generalized Witten genus for spin manifolds, which takes
values in level 1 modular forms with integral Fourier expansion on a class of
spin manifolds called string manifolds. We also construct a mod 2
analogue of the Witten genus for dimensional spin manifolds. The
Landweber-Stong type vanishing theorems are proven for the generalized Witten
genus and the mod 2 Witten genus on string and string (generalized)
complete intersections in (product of) complex projective spaces respectively.Comment: 28 page
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