منابع مشابه
Free loop space and homology
The aim of this paper is to explain the relationship between the (co)homology of the free loop space and the Hochschild homology of its singular cochain algebra. We introduce all the relevant technical tools, namely simplicial and cyclic objects, and we provide the various steps of the proofs, which are scattered around in the literature. This paper can be seen as a companion to the paper “Cycl...
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Let M be one of the projective spaces CP, HP for n ≥ 2 or the Cayley projective plane OP2, and let ΛM denote the free loop space on M . Using Morse theory methods, we prove that the suspension spectrum of (ΛM)+ is homotopy equivalent to the suspension spectrum of M+ wedge a family of Thom spaces of explicit vector bundles over the tangent sphere bundle of M . MSC: 55P42; 58E05; 53C35; 55P35
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Just over two years ago I wrote a summary of infinite loop space theory [37]. At the time, there seemed to be a lull in activity, with little immediately promising work in progress. As it turns out, there has been so much done in the interim that an update of the summary may be useful. The initial survey was divided into four chapters, dealing with additive infinite loop space theory, multiplic...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2011
ISSN: 1370-1444
DOI: 10.36045/bbms/1307452085