Citation
Kf. Liu et al., On elliptic genera and foliations, MATH RES LE, 8(3), 2001, pp. 361-376
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780
→ ACNP
Volume
8
Issue
3
Year of publication
2001
Pages
361 - 376
Database
ISI
SICI code
1073-2780(200105)8:3<361:OEGAF>2.0.ZU;2-4
Abstract
We prove several vanishing theorems for a class of generalized elliptic gen
era on foliated manifolds, by using classical equivariant index theory. The
main techniques are the use of the Jacobi theta-functions and the construc
tion of a new class of elliptic operators associated to foliations.