Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set

Autor: Suqian ZHAO
Jazyk: čínština
Rok vydání: 2015
Předmět:
Zdroj: Journal of Hebei University of Science and Technology, Vol 36, Iss 6, Pp 573-576 (2015)
Druh dokumentu: article
ISSN: 1008-1542
DOI: 10.7535/hbkd.2015yx06004
Popis: Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space. By constructing symmetric polynomial and computing characteristic number, it is proved that when r>8m+8n+8, every involution (Mr,T) fixes F bounds.
Databáze: Directory of Open Access Journals