Abstract
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 language | English (US) |
---|---|
Pages (from-to) | 295-298 |
Number of pages | 4 |
Journal | Comptes Rendus Mathematique |
Volume | 348 |
Issue number | 5-6 |
DOIs | |
State | Published - Mar 2010 |
ASJC Scopus subject areas
- General Mathematics