Witten genus and vanishing results on complete intersections

Qingtao Chen, Fei Han, Weiping Zhang

Research output: Contribution to journalArticlepeer-review


We construct a mod 2 analogue of the Witten genus for 8 k + 2 dimensional spin manifolds, as well as modular characteristic numbers for a class of spinc manifolds which we call stringc manifolds. When these spinc manifolds are actually spin, one recovers the original Witten genus on string manifolds. These genera vanish on string and stringc complete intersections respectively in complex projective spaces.

Original languageEnglish (US)
Pages (from-to)295-298
Number of pages4
JournalComptes Rendus Mathematique
Issue number5-6
StatePublished - Mar 2010

ASJC Scopus subject areas

  • General Mathematics


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