MODULAR INVARIANCE AND CHARACTERISTIC-NUMBERS

Authors
LIU KF
Citation
Kf. Liu, MODULAR INVARIANCE AND CHARACTERISTIC-NUMBERS, Communications in Mathematical Physics, 174(1), 1995, pp. 29-42
Citations number
32
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
174
Issue
1
Year of publication
1995
Pages
29 - 42
Database
ISI
SICI code
0010-3616(1995)174:1<29:MIAC>2.0.ZU;2-7
Abstract
We prove that a general miraculous cancellation formula, the divisibil ity of certain characteristic numbers, and some other topological resu lts related to the generalized Rochlin invariant, the eta-invariant an d the holonomies of certain determinant line bundles, are consequences of the modular invariance of elliptic operators on loop space.