Free loop space homology of highly connected manifolds
نویسندگان
چکیده
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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We investigate the cohomology of the free loop space of a one point union of a three-sphere with itself. The even dimensional subalgebra is not free and relations are presented explicitly. This algebra may also be identified as the cyclic homology of a “null algebra”. L’anneau de cohomologie de l’espace de lacets libres d’un bouquet de sphères et l’homologie cyclique. Résumé – Nous étudions l’a...
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We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f : X → BF , where BF denotes the classifying space for stable spherical fibrations. To do this, we consider symmetric monoidal models of the category of spaces over BF and corresponding strong symmetric monoidal Thom spectrum functors. Our main result identifies the topological Hochschild h...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2017
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2015-0074