Braid groups in complex projective spaces

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String cohomology groups of complex projective spaces

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. We compute the equivariant cohomology H(LXhT;Z/p) as a module over H ∗(BT;Z/p) when X = CP for any positive integer r and any prime number p. The computation implies that the associated mod p Serre spectral sequence collapses from the E3-page. MSC: 55N91; 58E05; 55P35; 18G50

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ژورنال

عنوان ژورنال: Advances in Geometry

سال: 2012

ISSN: 1615-7168,1615-715X

DOI: 10.1515/advgeom.2011.048