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2007 String cohomology groups of complex projective spaces
Iver Ottosen, Marcel Bökstedt
Algebr. Geom. Topol. 7(4): 2165-2238 (2007). DOI: 10.2140/agt.2007.7.2165

Abstract

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;p) is a module over H(BT;p). We give a computation of this module when X= Pr for any positive integer r and any prime number p. The computation does not use the fact that Pr is formal, nor does it use the Jones isomorphism and negative cyclic homology.

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Iver Ottosen. Marcel Bökstedt. "String cohomology groups of complex projective spaces." Algebr. Geom. Topol. 7 (4) 2165 - 2238, 2007. https://doi.org/10.2140/agt.2007.7.2165

Information

Received: 30 July 2007; Accepted: 5 November 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1134.55005
MathSciNet: MR2366191
Digital Object Identifier: 10.2140/agt.2007.7.2165

Subjects:
Primary: 18G50, 55N91, 55P35, 58E05

Rights: Copyright © 2007 Mathematical Sciences Publishers

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