MORAVA K-THEORY AND THE FREE LOOP SPACE

被引：2

作者：

MCCLEARY, J ^{[1
]}

MCLAUGHLIN, DA ^{[1
]}

机构：

[1] PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08544 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 01期

关键词：

FREE LOOP SPACE; MORAVA K-THEORY;

D O I：

10.2307/2159807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize a result of Hopkins, Kuhn, and Ravenel relating the n th Morava K-theory of the free loop space of a classifying space of a finite group to the (n + 1) st Morava K-theory of the space. We show that the analogous result holds for any Eilenberg-Mac Lane space for a finite group. We also compute the Morava K-theory of the free loop space of a suspension, and comment on the general problem.

引用

页码：243 / 250

页数：8

共 14 条

[1] Brown E.H., 1966, TOPOLOGY, V5, P149, DOI [10.1016/0040-9383(66)90015-2, DOI 10.1016/0040-9383(66)90015-2]
[2] REPRESENTATIONS OF LOOP-GROUPS, DIRAC OPERATORS ON LOOP SPACE, AND MODULAR-FORMS
BRYLINSKI, JL
[J]. TOPOLOGY, 1990, 29 (04) : 461 - 480
[3] THE CYCLIC GROUPS AND THE FREE LOOP SPACE
CARLSSON, GE
COHEN, RL
[J]. COMMENTARII MATHEMATICI HELVETICI, 1987, 62 (03) : 423 - 449
[4] COHEN RL, 1987, LECT NOTES MATH, V1286, P193
[5] A NEW EXAMPLE IN K-THEORY OF LOOPSPACES
GHAZAL, T
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (03) : 855 - 856
[6] CYCLIC HOMOLOGY, DERIVATIONS, AND THE FREE LOOPSPACE
GOODWILLIE, TG
[J]. TOPOLOGY, 1985, 24 (02) : 187 - 215
[7] HOPKINS MJ, IN PRESS GENERALIZED
[8] BP OPERATIONS AND MORAVAS EXTRAORDINARY K-THEORIES
JOHNSON, DC
WILSON, WS
[J]. MATHEMATISCHE ZEITSCHRIFT, 1975, 144 (01) : 55 - 75
[9] MILLER H, 1989, CONT MATH, V96, P281, DOI DOI 10.1090/C0NM/096/1022688
[10] THE MORAVA K-THEORIES OF EILENBERG-MACLANE SPACES AND THE CONNER-FLOYD CONJECTURE
RAVENEL, DC
WILSON, WS
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1980, 102 (04) : 691 - 748

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