EQUIVARIANT SPIN BORDISM IN LOW DIMENSIONS

被引：2

作者：

FARSI, C ^{[1
]}

机构：

[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1992年 / 43卷 / 02期

关键词：

D O I：

10.1016/0166-8641(92)90138-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study OMEGA(n)Spin,Z(p), n = 5, 6, 7, where p is an odd prime and we consider some applications to the existence of Z(p)-invariant metrics of positive scalar curvature on closed spin manifolds of dimensions 5, 6, 7. We show that for actions of "mixed type" the vanishing of the obstruction considered implies Z(p)-invariant positive scalar curvature.

引用

页码：167 / 180

页数：14

共 22 条

[1] ALEXANDER JP, 1977, LECTURE NOTES MATH, V625
[2] Atiyah M. F., 1969, J DIFFER GEOM, V3, P1
[3] A LEFSCHETZ FIXED POINT FORMULA FOR ELLIPTIC COMPLEXES .2. APPLICATIONS
ATIYAH, MF
BOTT, R
[J]. ANNALS OF MATHEMATICS, 1968, 88 (03) : 451 - &
[4] ATIYAH MF, 1968, ANN MATH, V87, P546, DOI 10.2307/1970717
[5] ATIYAH MF, 1970, ESSAYS TOPOLOGY RELA, P00018
[6] BORDISM OF SEMIFREE CIRCLE-ACTIONS ON SPIN MANIFOLDS
BORSARI, LD
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 301 (02) : 479 - 487
[7] THE A-GENUS OF COMPLEX HYPERSURFACES AND COMPLETE-INTERSECTIONS
BROOKS, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 87 (03) : 528 - 532
[8] GROUP ACTIONS ON SPIN MANIFOLDS
CHICHILNISKY, G
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 172 (NOCT) : 307 - 315
[9] CONNER P, 1979, LECTURE NOTES MATH, V738
[10] THE CLASSIFICATION OF SIMPLY CONNECTED MANIFOLDS OF POSITIVE SCALAR CURVATURE
GROMOV, M
LAWSON, HB
[J]. ANNALS OF MATHEMATICS, 1980, 111 (03) : 423 - 434

← 1 2 3 →