HIGHER LEFSCHETZ TRACES AND SPHERICAL EULER CHARACTERISTICS

Authors
GEOGHEGAN R NICAS A OPREA J
Citation
R. Geoghegan et al., HIGHER LEFSCHETZ TRACES AND SPHERICAL EULER CHARACTERISTICS, Transactions of the American Mathematical Society, 348(5), 1996, pp. 2039-2062
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
5
Year of publication
1996
Pages
2039 - 2062
Database
ISI
SICI code
0002-9947(1996)348:5<2039:HLTASE>2.0.ZU;2-U
Abstract
Higher analogs of the Euler characteristic and Lefschetz number are in troduced. It is shown that they possess a variety of properties genera lizing known features of those classical invariants. Applications are then given. In particular, it is shown that the higher Euler character istics are obstructions to homotopy properties such as the TNCZ condit ion, and to a manifold being homologically Kahler.