String cohomology groups of complex projective spaces

TY - JOUR

T1 - String cohomology groups of complex projective spaces

AU - Ottosen, Iver

AU - Bökstedt, Marcel

PY - 2007

Y1 - 2007

N2 - Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. The equivariant cohomology H*(LXhT;Z/p) is a module over H*(BT;Z/p). We give a computation of this module when X=CPr for any positive integer r and any prime number p. The computation does not use the fact that CPr is formal, nor does it use the Jones isomorphism and negative cyclic homology.

AB - Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. The equivariant cohomology H*(LXhT;Z/p) is a module over H*(BT;Z/p). We give a computation of this module when X=CPr for any positive integer r and any prime number p. The computation does not use the fact that CPr is formal, nor does it use the Jones isomorphism and negative cyclic homology.

U2 - 10.2140/agt.2007.7.2165

DO - 10.2140/agt.2007.7.2165

M3 - Journal article

VL - 7

SP - 2165

EP - 2238

JO - Algebr. Geom. Topol.

JF - Algebr. Geom. Topol.

ER -