THE ATIYAH-SINGER INDEX THEOREM AS PASSAGE TO THE CLASSICAL LIMIT IN QUANTUM-MECHANICS

Authors
ELLIOTT GA NATSUME T NEST R
Citation
Ga. Elliott et al., THE ATIYAH-SINGER INDEX THEOREM AS PASSAGE TO THE CLASSICAL LIMIT IN QUANTUM-MECHANICS, Communications in Mathematical Physics, 182(3), 1996, pp. 505-533
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
182
Issue
3
Year of publication
1996
Pages
505 - 533
Database
ISI
SICI code
0010-3616(1996)182:3<505:TAITAP>2.0.ZU;2-N
Abstract
A new approach to the Atiyah-Singer index theorem is described, using the technique of continuous fields of C-algebras. The proof is given in the case of elliptic pseudodifferential operators on IR(n).